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Finding the Third Proportional to 126,421 and 291,931

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Solution

The third proportional to 126,421 and 291,931 is: 674,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,421 : 291,931 = 291,931 : x
  2. Step 2: Convert to fraction form
    126,421/291,931 = 291,931/x
  3. Step 3: Cross multiply
    126,421x = 291,931 × 291,931
  4. Step 4: Simplify right side
    126,421x = 85,223,708,761
  5. Step 5: Solve for x
    x = 85,223,708,761/126,421
  6. Step 6: Final answer
    x = 674,126.20

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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.