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Finding the Third Proportional to 126,414 and 291,915

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Solution

The third proportional to 126,414 and 291,915 is: 674,089.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,414 : 291,915 = 291,915 : x
  2. Step 2: Convert to fraction form
    126,414/291,915 = 291,915/x
  3. Step 3: Cross multiply
    126,414x = 291,915 × 291,915
  4. Step 4: Simplify right side
    126,414x = 85,214,367,225
  5. Step 5: Solve for x
    x = 85,214,367,225/126,414
  6. Step 6: Final answer
    x = 674,089.64

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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.