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Finding the Third Proportional to 83,245.50 and 132,404.25

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Solution

The third proportional to 83,245.50 and 132,404.25 is: 210,592.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,245.50 : 132,404.25 = 132,404.25 : x
  2. Step 2: Convert to fraction form
    83,245.50/132,404.25 = 132,404.25/x
  3. Step 3: Cross multiply
    83,245.50x = 132,404.25 × 132,404.25
  4. Step 4: Simplify right side
    83,245.50x = 17,530,885,418.06
  5. Step 5: Solve for x
    x = 17,530,885,418.06/83,245.50
  6. Step 6: Final answer
    x = 210,592.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.