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Finding the Third Proportional to 42,875 and 66,767

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Solution

The third proportional to 42,875 and 66,767 is: 103,972.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,875 : 66,767 = 66,767 : x
  2. Step 2: Convert to fraction form
    42,875/66,767 = 66,767/x
  3. Step 3: Cross multiply
    42,875x = 66,767 × 66,767
  4. Step 4: Simplify right side
    42,875x = 4,457,832,289
  5. Step 5: Solve for x
    x = 4,457,832,289/42,875
  6. Step 6: Final answer
    x = 103,972.76

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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.