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Finding the Third Proportional to 132,553.50 and 199,262.25

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Solution

The third proportional to 132,553.50 and 199,262.25 is: 299,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,553.50 : 199,262.25 = 199,262.25 : x
  2. Step 2: Convert to fraction form
    132,553.50/199,262.25 = 199,262.25/x
  3. Step 3: Cross multiply
    132,553.50x = 199,262.25 × 199,262.25
  4. Step 4: Simplify right side
    132,553.50x = 39,705,444,275.06
  5. Step 5: Solve for x
    x = 39,705,444,275.06/132,553.50
  6. Step 6: Final answer
    x = 299,542.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.