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Finding the Third Proportional to 31,214 and 67,720

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Solution

The third proportional to 31,214 and 67,720 is: 146,921.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,214 : 67,720 = 67,720 : x
  2. Step 2: Convert to fraction form
    31,214/67,720 = 67,720/x
  3. Step 3: Cross multiply
    31,214x = 67,720 × 67,720
  4. Step 4: Simplify right side
    31,214x = 4,585,998,400
  5. Step 5: Solve for x
    x = 4,585,998,400/31,214
  6. Step 6: Final answer
    x = 146,921.20

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.