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Finding the Third Proportional to 638,280 and 952,902

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Solution

The third proportional to 638,280 and 952,902 is: 1,422,607.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,280 : 952,902 = 952,902 : x
  2. Step 2: Convert to fraction form
    638,280/952,902 = 952,902/x
  3. Step 3: Cross multiply
    638,280x = 952,902 × 952,902
  4. Step 4: Simplify right side
    638,280x = 908,022,221,604
  5. Step 5: Solve for x
    x = 908,022,221,604/638,280
  6. Step 6: Final answer
    x = 1,422,607.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.