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Finding the Third Proportional to 131,691 and 289,638

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Solution

The third proportional to 131,691 and 289,638 is: 637,022.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,691 : 289,638 = 289,638 : x
  2. Step 2: Convert to fraction form
    131,691/289,638 = 289,638/x
  3. Step 3: Cross multiply
    131,691x = 289,638 × 289,638
  4. Step 4: Simplify right side
    131,691x = 83,890,171,044
  5. Step 5: Solve for x
    x = 83,890,171,044/131,691
  6. Step 6: Final answer
    x = 637,022.81

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.