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Finding the Third Proportional to 100,087.50 and 217,599

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Solution

The third proportional to 100,087.50 and 217,599 is: 473,079.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,087.50 : 217,599 = 217,599 : x
  2. Step 2: Convert to fraction form
    100,087.50/217,599 = 217,599/x
  3. Step 3: Cross multiply
    100,087.50x = 217,599 × 217,599
  4. Step 4: Simplify right side
    100,087.50x = 47,349,324,801
  5. Step 5: Solve for x
    x = 47,349,324,801/100,087.50
  6. Step 6: Final answer
    x = 473,079.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.