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Finding the Third Proportional to 126,434 and 292,703

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Solution

The third proportional to 126,434 and 292,703 is: 677,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,434 : 292,703 = 292,703 : x
  2. Step 2: Convert to fraction form
    126,434/292,703 = 292,703/x
  3. Step 3: Cross multiply
    126,434x = 292,703 × 292,703
  4. Step 4: Simplify right side
    126,434x = 85,675,046,209
  5. Step 5: Solve for x
    x = 85,675,046,209/126,434
  6. Step 6: Final answer
    x = 677,626.64

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.