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Finding the Third Proportional to 136,417 and 318,626

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Solution

The third proportional to 136,417 and 318,626 is: 744,207.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,417 : 318,626 = 318,626 : x
  2. Step 2: Convert to fraction form
    136,417/318,626 = 318,626/x
  3. Step 3: Cross multiply
    136,417x = 318,626 × 318,626
  4. Step 4: Simplify right side
    136,417x = 101,522,527,876
  5. Step 5: Solve for x
    x = 101,522,527,876/136,417
  6. Step 6: Final answer
    x = 744,207.30

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.