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Finding the Third Proportional to 129,310 and 194,139

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Solution

The third proportional to 129,310 and 194,139 is: 291,469.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,310 : 194,139 = 194,139 : x
  2. Step 2: Convert to fraction form
    129,310/194,139 = 194,139/x
  3. Step 3: Cross multiply
    129,310x = 194,139 × 194,139
  4. Step 4: Simplify right side
    129,310x = 37,689,951,321
  5. Step 5: Solve for x
    x = 37,689,951,321/129,310
  6. Step 6: Final answer
    x = 291,469.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.