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Finding the Third Proportional to 639,400 and 938,364

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Solution

The third proportional to 639,400 and 938,364 is: 1,377,114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,400 : 938,364 = 938,364 : x
  2. Step 2: Convert to fraction form
    639,400/938,364 = 938,364/x
  3. Step 3: Cross multiply
    639,400x = 938,364 × 938,364
  4. Step 4: Simplify right side
    639,400x = 880,526,996,496
  5. Step 5: Solve for x
    x = 880,526,996,496/639,400
  6. Step 6: Final answer
    x = 1,377,114.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.