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Finding the Third Proportional to 83,593.50 and 128,306.25

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Solution

The third proportional to 83,593.50 and 128,306.25 is: 196,935.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,593.50 : 128,306.25 = 128,306.25 : x
  2. Step 2: Convert to fraction form
    83,593.50/128,306.25 = 128,306.25/x
  3. Step 3: Cross multiply
    83,593.50x = 128,306.25 × 128,306.25
  4. Step 4: Simplify right side
    83,593.50x = 16,462,493,789.06
  5. Step 5: Solve for x
    x = 16,462,493,789.06/83,593.50
  6. Step 6: Final answer
    x = 196,935.09

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.