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Finding the Third Proportional to 42,634 and 66,880

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Solution

The third proportional to 42,634 and 66,880 is: 104,914.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,634 : 66,880 = 66,880 : x
  2. Step 2: Convert to fraction form
    42,634/66,880 = 66,880/x
  3. Step 3: Cross multiply
    42,634x = 66,880 × 66,880
  4. Step 4: Simplify right side
    42,634x = 4,472,934,400
  5. Step 5: Solve for x
    x = 4,472,934,400/42,634
  6. Step 6: Final answer
    x = 104,914.73

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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.