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Finding the Third Proportional to 142,772 and 187,791

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Solution

The third proportional to 142,772 and 187,791 is: 247,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,772 : 187,791 = 187,791 : x
  2. Step 2: Convert to fraction form
    142,772/187,791 = 187,791/x
  3. Step 3: Cross multiply
    142,772x = 187,791 × 187,791
  4. Step 4: Simplify right side
    142,772x = 35,265,459,681
  5. Step 5: Solve for x
    x = 35,265,459,681/142,772
  6. Step 6: Final answer
    x = 247,005.43

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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.