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Finding the Third Proportional to 31,776 and 68,782

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Solution

The third proportional to 31,776 and 68,782 is: 148,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,776 : 68,782 = 68,782 : x
  2. Step 2: Convert to fraction form
    31,776/68,782 = 68,782/x
  3. Step 3: Cross multiply
    31,776x = 68,782 × 68,782
  4. Step 4: Simplify right side
    31,776x = 4,730,963,524
  5. Step 5: Solve for x
    x = 4,730,963,524/31,776
  6. Step 6: Final answer
    x = 148,884.80

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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.