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Finding the Third Proportional to 129,742 and 194,615

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Solution

The third proportional to 129,742 and 194,615 is: 291,925.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,742 : 194,615 = 194,615 : x
  2. Step 2: Convert to fraction form
    129,742/194,615 = 194,615/x
  3. Step 3: Cross multiply
    129,742x = 194,615 × 194,615
  4. Step 4: Simplify right side
    129,742x = 37,874,998,225
  5. Step 5: Solve for x
    x = 37,874,998,225/129,742
  6. Step 6: Final answer
    x = 291,925.50

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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.