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Finding the Third Proportional to 438,230 and 676,695

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Solution

The third proportional to 438,230 and 676,695 is: 1,044,921.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,230 : 676,695 = 676,695 : x
  2. Step 2: Convert to fraction form
    438,230/676,695 = 676,695/x
  3. Step 3: Cross multiply
    438,230x = 676,695 × 676,695
  4. Step 4: Simplify right side
    438,230x = 457,916,123,025
  5. Step 5: Solve for x
    x = 457,916,123,025/438,230
  6. Step 6: Final answer
    x = 1,044,921.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.