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Finding the Third Proportional to 31,416 and 68,374

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Solution

The third proportional to 31,416 and 68,374 is: 148,809.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 68,374 = 68,374 : x
  2. Step 2: Convert to fraction form
    31,416/68,374 = 68,374/x
  3. Step 3: Cross multiply
    31,416x = 68,374 × 68,374
  4. Step 4: Simplify right side
    31,416x = 4,675,003,876
  5. Step 5: Solve for x
    x = 4,675,003,876/31,416
  6. Step 6: Final answer
    x = 148,809.65

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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.