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Finding the Third Proportional to 83,940 and 132,915

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Solution

The third proportional to 83,940 and 132,915 is: 210,464.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,940 : 132,915 = 132,915 : x
  2. Step 2: Convert to fraction form
    83,940/132,915 = 132,915/x
  3. Step 3: Cross multiply
    83,940x = 132,915 × 132,915
  4. Step 4: Simplify right side
    83,940x = 17,666,397,225
  5. Step 5: Solve for x
    x = 17,666,397,225/83,940
  6. Step 6: Final answer
    x = 210,464.58

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Why These Related Problems?

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