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Finding the Third Proportional to 42,895.50 and 66,288

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Solution

The third proportional to 42,895.50 and 66,288 is: 102,437.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,895.50 : 66,288 = 66,288 : x
  2. Step 2: Convert to fraction form
    42,895.50/66,288 = 66,288/x
  3. Step 3: Cross multiply
    42,895.50x = 66,288 × 66,288
  4. Step 4: Simplify right side
    42,895.50x = 4,394,098,944
  5. Step 5: Solve for x
    x = 4,394,098,944/42,895.50
  6. Step 6: Final answer
    x = 102,437.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.