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Finding the Third Proportional to 249,440,190,042 and 512,103,931,231.50

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Solution

The third proportional to 249,440,190,042 and 512,103,931,231.50 is: 1,051,355,983,727.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,440,190,042 : 512,103,931,231.50 = 512,103,931,231.50 : x
  2. Step 2: Convert to fraction form
    249,440,190,042/512,103,931,231.50 = 512,103,931,231.50/x
  3. Step 3: Cross multiply
    249,440,190,042x = 512,103,931,231.50 × 512,103,931,231.50
  4. Step 4: Simplify right side
    249,440,190,042x = 262,250,436,382,756,891,000,832
  5. Step 5: Solve for x
    x = 262,250,436,382,756,891,000,832/249,440,190,042
  6. Step 6: Final answer
    x = 1,051,355,983,727.40

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.