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Finding the Third Proportional to 142,705 and 187,691

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Solution

The third proportional to 142,705 and 187,691 is: 246,858.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,705 : 187,691 = 187,691 : x
  2. Step 2: Convert to fraction form
    142,705/187,691 = 187,691/x
  3. Step 3: Cross multiply
    142,705x = 187,691 × 187,691
  4. Step 4: Simplify right side
    142,705x = 35,227,911,481
  5. Step 5: Solve for x
    x = 35,227,911,481/142,705
  6. Step 6: Final answer
    x = 246,858.28

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.