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Finding the Third Proportional to 287,098 and 440,691

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Solution

The third proportional to 287,098 and 440,691 is: 676,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,098 : 440,691 = 440,691 : x
  2. Step 2: Convert to fraction form
    287,098/440,691 = 440,691/x
  3. Step 3: Cross multiply
    287,098x = 440,691 × 440,691
  4. Step 4: Simplify right side
    287,098x = 194,208,557,481
  5. Step 5: Solve for x
    x = 194,208,557,481/287,098
  6. Step 6: Final answer
    x = 676,453.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.