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Finding the Third Proportional to 129,772.13 and 196,388.30

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Solution

The third proportional to 129,772.13 and 196,388.30 is: 297,200.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,772.13 : 196,388.30 = 196,388.30 : x
  2. Step 2: Convert to fraction form
    129,772.13/196,388.30 = 196,388.30/x
  3. Step 3: Cross multiply
    129,772.13x = 196,388.30 × 196,388.30
  4. Step 4: Simplify right side
    129,772.13x = 38,568,363,149.46
  5. Step 5: Solve for x
    x = 38,568,363,149.46/129,772.13
  6. Step 6: Final answer
    x = 297,200.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.