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Finding the Third Proportional to 68,466 and 149,538

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Solution

The third proportional to 68,466 and 149,538 is: 326,609.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,466 : 149,538 = 149,538 : x
  2. Step 2: Convert to fraction form
    68,466/149,538 = 149,538/x
  3. Step 3: Cross multiply
    68,466x = 149,538 × 149,538
  4. Step 4: Simplify right side
    68,466x = 22,361,613,444
  5. Step 5: Solve for x
    x = 22,361,613,444/68,466
  6. Step 6: Final answer
    x = 326,609.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.