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Finding the Third Proportional to 126,417 and 291,921

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Solution

The third proportional to 126,417 and 291,921 is: 674,101.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,417 : 291,921 = 291,921 : x
  2. Step 2: Convert to fraction form
    126,417/291,921 = 291,921/x
  3. Step 3: Cross multiply
    126,417x = 291,921 × 291,921
  4. Step 4: Simplify right side
    126,417x = 85,217,870,241
  5. Step 5: Solve for x
    x = 85,217,870,241/126,417
  6. Step 6: Final answer
    x = 674,101.35

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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.