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Finding the Third Proportional to 31,475 and 68,113

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Solution

The third proportional to 31,475 and 68,113 is: 147,398.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,475 : 68,113 = 68,113 : x
  2. Step 2: Convert to fraction form
    31,475/68,113 = 68,113/x
  3. Step 3: Cross multiply
    31,475x = 68,113 × 68,113
  4. Step 4: Simplify right side
    31,475x = 4,639,380,769
  5. Step 5: Solve for x
    x = 4,639,380,769/31,475
  6. Step 6: Final answer
    x = 147,398.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.