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Finding the Third Proportional to 67,138 and 148,246

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Solution

The third proportional to 67,138 and 148,246 is: 327,338.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,138 : 148,246 = 148,246 : x
  2. Step 2: Convert to fraction form
    67,138/148,246 = 148,246/x
  3. Step 3: Cross multiply
    67,138x = 148,246 × 148,246
  4. Step 4: Simplify right side
    67,138x = 21,976,876,516
  5. Step 5: Solve for x
    x = 21,976,876,516/67,138
  6. Step 6: Final answer
    x = 327,338.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.