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Finding the Third Proportional to 129,160.08 and 203,645.69

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Solution

The third proportional to 129,160.08 and 203,645.69 is: 321,086.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,160.08 : 203,645.69 = 203,645.69 : x
  2. Step 2: Convert to fraction form
    129,160.08/203,645.69 = 203,645.69/x
  3. Step 3: Cross multiply
    129,160.08x = 203,645.69 × 203,645.69
  4. Step 4: Simplify right side
    129,160.08x = 41,471,565,937.91
  5. Step 5: Solve for x
    x = 41,471,565,937.91/129,160.08
  6. Step 6: Final answer
    x = 321,086.57

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.