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Finding the Third Proportional to 31,742 and 68,952

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Solution

The third proportional to 31,742 and 68,952 is: 149,781.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,742 : 68,952 = 68,952 : x
  2. Step 2: Convert to fraction form
    31,742/68,952 = 68,952/x
  3. Step 3: Cross multiply
    31,742x = 68,952 × 68,952
  4. Step 4: Simplify right side
    31,742x = 4,754,378,304
  5. Step 5: Solve for x
    x = 4,754,378,304/31,742
  6. Step 6: Final answer
    x = 149,781.94

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.