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Finding the Third Proportional to 502,377 and 702,706

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Solution

The third proportional to 502,377 and 702,706 is: 982,918.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,377 : 702,706 = 702,706 : x
  2. Step 2: Convert to fraction form
    502,377/702,706 = 702,706/x
  3. Step 3: Cross multiply
    502,377x = 702,706 × 702,706
  4. Step 4: Simplify right side
    502,377x = 493,795,722,436
  5. Step 5: Solve for x
    x = 493,795,722,436/502,377
  6. Step 6: Final answer
    x = 982,918.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.