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Finding the Third Proportional to 85,402.13 and 135,706.31

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Solution

The third proportional to 85,402.13 and 135,706.31 is: 215,641.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,402.13 : 135,706.31 = 135,706.31 : x
  2. Step 2: Convert to fraction form
    85,402.13/135,706.31 = 135,706.31/x
  3. Step 3: Cross multiply
    85,402.13x = 135,706.31 × 135,706.31
  4. Step 4: Simplify right side
    85,402.13x = 18,416,203,252.35
  5. Step 5: Solve for x
    x = 18,416,203,252.35/85,402.13
  6. Step 6: Final answer
    x = 215,641.04

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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.