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Finding the Third Proportional to 129,472.50 and 196,911

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Solution

The third proportional to 129,472.50 and 196,911 is: 299,476.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,472.50 : 196,911 = 196,911 : x
  2. Step 2: Convert to fraction form
    129,472.50/196,911 = 196,911/x
  3. Step 3: Cross multiply
    129,472.50x = 196,911 × 196,911
  4. Step 4: Simplify right side
    129,472.50x = 38,773,941,921
  5. Step 5: Solve for x
    x = 38,773,941,921/129,472.50
  6. Step 6: Final answer
    x = 299,476.27

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.