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Finding the Third Proportional to 105,742 and 155,691

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Solution

The third proportional to 105,742 and 155,691 is: 229,234.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,742 : 155,691 = 155,691 : x
  2. Step 2: Convert to fraction form
    105,742/155,691 = 155,691/x
  3. Step 3: Cross multiply
    105,742x = 155,691 × 155,691
  4. Step 4: Simplify right side
    105,742x = 24,239,687,481
  5. Step 5: Solve for x
    x = 24,239,687,481/105,742
  6. Step 6: Final answer
    x = 229,234.24

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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.