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Finding the Third Proportional to 31,442 and 68,340

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Solution

The third proportional to 31,442 and 68,340 is: 148,538.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,442 : 68,340 = 68,340 : x
  2. Step 2: Convert to fraction form
    31,442/68,340 = 68,340/x
  3. Step 3: Cross multiply
    31,442x = 68,340 × 68,340
  4. Step 4: Simplify right side
    31,442x = 4,670,355,600
  5. Step 5: Solve for x
    x = 4,670,355,600/31,442
  6. Step 6: Final answer
    x = 148,538.76

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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.