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Finding the Third Proportional to 249,120 and 385,920

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Solution

The third proportional to 249,120 and 385,920 is: 597,841.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    249,120 : 385,920 = 385,920 : x
  2. Step 2: Convert to fraction form
    249,120/385,920 = 385,920/x
  3. Step 3: Cross multiply
    249,120x = 385,920 × 385,920
  4. Step 4: Simplify right side
    249,120x = 148,934,246,400
  5. Step 5: Solve for x
    x = 148,934,246,400/249,120
  6. Step 6: Final answer
    x = 597,841.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.