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Finding the Third Proportional to 42,692 and 66,974

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Solution

The third proportional to 42,692 and 66,974 is: 105,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,692 : 66,974 = 66,974 : x
  2. Step 2: Convert to fraction form
    42,692/66,974 = 66,974/x
  3. Step 3: Cross multiply
    42,692x = 66,974 × 66,974
  4. Step 4: Simplify right side
    42,692x = 4,485,516,676
  5. Step 5: Solve for x
    x = 4,485,516,676/42,692
  6. Step 6: Final answer
    x = 105,066.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.