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Finding the Third Proportional to 126,416 and 291,920

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Solution

The third proportional to 126,416 and 291,920 is: 674,102.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,416 : 291,920 = 291,920 : x
  2. Step 2: Convert to fraction form
    126,416/291,920 = 291,920/x
  3. Step 3: Cross multiply
    126,416x = 291,920 × 291,920
  4. Step 4: Simplify right side
    126,416x = 85,217,286,400
  5. Step 5: Solve for x
    x = 85,217,286,400/126,416
  6. Step 6: Final answer
    x = 674,102.06

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.