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Finding the Third Proportional to 125,286.91 and 138,088.55

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Solution

The third proportional to 125,286.91 and 138,088.55 is: 152,198.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,286.91 : 138,088.55 = 138,088.55 : x
  2. Step 2: Convert to fraction form
    125,286.91/138,088.55 = 138,088.55/x
  3. Step 3: Cross multiply
    125,286.91x = 138,088.55 × 138,088.55
  4. Step 4: Simplify right side
    125,286.91x = 19,068,446,778.05
  5. Step 5: Solve for x
    x = 19,068,446,778.05/125,286.91
  6. Step 6: Final answer
    x = 152,198.24

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.