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Finding the Third Proportional to 29,729 and 40,765

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Solution

The third proportional to 29,729 and 40,765 is: 55,897.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,729 : 40,765 = 40,765 : x
  2. Step 2: Convert to fraction form
    29,729/40,765 = 40,765/x
  3. Step 3: Cross multiply
    29,729x = 40,765 × 40,765
  4. Step 4: Simplify right side
    29,729x = 1,661,785,225
  5. Step 5: Solve for x
    x = 1,661,785,225/29,729
  6. Step 6: Final answer
    x = 55,897.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.