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Finding the Third Proportional to 83,952 and 132,931

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Solution

The third proportional to 83,952 and 132,931 is: 210,485.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,952 : 132,931 = 132,931 : x
  2. Step 2: Convert to fraction form
    83,952/132,931 = 132,931/x
  3. Step 3: Cross multiply
    83,952x = 132,931 × 132,931
  4. Step 4: Simplify right side
    83,952x = 17,670,650,761
  5. Step 5: Solve for x
    x = 17,670,650,761/83,952
  6. Step 6: Final answer
    x = 210,485.17

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.