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Finding the Third Proportional to 129,474 and 196,913

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Solution

The third proportional to 129,474 and 196,913 is: 299,478.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,474 : 196,913 = 196,913 : x
  2. Step 2: Convert to fraction form
    129,474/196,913 = 196,913/x
  3. Step 3: Cross multiply
    129,474x = 196,913 × 196,913
  4. Step 4: Simplify right side
    129,474x = 38,774,729,569
  5. Step 5: Solve for x
    x = 38,774,729,569/129,474
  6. Step 6: Final answer
    x = 299,478.89

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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.