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Finding the Third Proportional to 129,475 and 196,914

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Solution

The third proportional to 129,475 and 196,914 is: 299,479.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,475 : 196,914 = 196,914 : x
  2. Step 2: Convert to fraction form
    129,475/196,914 = 196,914/x
  3. Step 3: Cross multiply
    129,475x = 196,914 × 196,914
  4. Step 4: Simplify right side
    129,475x = 38,775,123,396
  5. Step 5: Solve for x
    x = 38,775,123,396/129,475
  6. Step 6: Final answer
    x = 299,479.62

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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.