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Finding the Third Proportional to 42,871 and 66,761

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Solution

The third proportional to 42,871 and 66,761 is: 103,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,871 : 66,761 = 66,761 : x
  2. Step 2: Convert to fraction form
    42,871/66,761 = 66,761/x
  3. Step 3: Cross multiply
    42,871x = 66,761 × 66,761
  4. Step 4: Simplify right side
    42,871x = 4,457,031,121
  5. Step 5: Solve for x
    x = 4,457,031,121/42,871
  6. Step 6: Final answer
    x = 103,963.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.