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Finding the Third Proportional to 126,256 and 292,312

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Solution

The third proportional to 126,256 and 292,312 is: 676,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,256 : 292,312 = 292,312 : x
  2. Step 2: Convert to fraction form
    126,256/292,312 = 292,312/x
  3. Step 3: Cross multiply
    126,256x = 292,312 × 292,312
  4. Step 4: Simplify right side
    126,256x = 85,446,305,344
  5. Step 5: Solve for x
    x = 85,446,305,344/126,256
  6. Step 6: Final answer
    x = 676,770.26

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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.