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Finding the Third Proportional to 135,712.97 and 199,618.17

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Solution

The third proportional to 135,712.97 and 199,618.17 is: 293,615.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,712.97 : 199,618.17 = 199,618.17 : x
  2. Step 2: Convert to fraction form
    135,712.97/199,618.17 = 199,618.17/x
  3. Step 3: Cross multiply
    135,712.97x = 199,618.17 × 199,618.17
  4. Step 4: Simplify right side
    135,712.97x = 39,847,414,542.72
  5. Step 5: Solve for x
    x = 39,847,414,542.72/135,712.97
  6. Step 6: Final answer
    x = 293,615.38

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.