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Finding the Third Proportional to 129,081.38 and 197,319.38

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Solution

The third proportional to 129,081.38 and 197,319.38 is: 301,630.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,081.38 : 197,319.38 = 197,319.38 : x
  2. Step 2: Convert to fraction form
    129,081.38/197,319.38 = 197,319.38/x
  3. Step 3: Cross multiply
    129,081.38x = 197,319.38 × 197,319.38
  4. Step 4: Simplify right side
    129,081.38x = 38,934,935,750.39
  5. Step 5: Solve for x
    x = 38,934,935,750.39/129,081.38
  6. Step 6: Final answer
    x = 301,630.93

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.