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Finding the Third Proportional to 42,508.50 and 66,125.25

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Solution

The third proportional to 42,508.50 and 66,125.25 is: 102,862.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,508.50 : 66,125.25 = 66,125.25 : x
  2. Step 2: Convert to fraction form
    42,508.50/66,125.25 = 66,125.25/x
  3. Step 3: Cross multiply
    42,508.50x = 66,125.25 × 66,125.25
  4. Step 4: Simplify right side
    42,508.50x = 4,372,548,687.56
  5. Step 5: Solve for x
    x = 4,372,548,687.56/42,508.50
  6. Step 6: Final answer
    x = 102,862.93

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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.