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Finding the Third Proportional to 31,416 and 68,371

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Solution

The third proportional to 31,416 and 68,371 is: 148,796.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,416 : 68,371 = 68,371 : x
  2. Step 2: Convert to fraction form
    31,416/68,371 = 68,371/x
  3. Step 3: Cross multiply
    31,416x = 68,371 × 68,371
  4. Step 4: Simplify right side
    31,416x = 4,674,593,641
  5. Step 5: Solve for x
    x = 4,674,593,641/31,416
  6. Step 6: Final answer
    x = 148,796.59

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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.