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Finding the Third Proportional to 115,000,784 and 249,405,120

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Solution

The third proportional to 115,000,784 and 249,405,120 is: 540,891,215.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,000,784 : 249,405,120 = 249,405,120 : x
  2. Step 2: Convert to fraction form
    115,000,784/249,405,120 = 249,405,120/x
  3. Step 3: Cross multiply
    115,000,784x = 249,405,120 × 249,405,120
  4. Step 4: Simplify right side
    115,000,784x = 62,202,913,882,214,400
  5. Step 5: Solve for x
    x = 62,202,913,882,214,400/115,000,784
  6. Step 6: Final answer
    x = 540,891,215.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.