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Finding the Third Proportional to 41,034.50 and 94,543

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Solution

The third proportional to 41,034.50 and 94,543 is: 217,825.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,034.50 : 94,543 = 94,543 : x
  2. Step 2: Convert to fraction form
    41,034.50/94,543 = 94,543/x
  3. Step 3: Cross multiply
    41,034.50x = 94,543 × 94,543
  4. Step 4: Simplify right side
    41,034.50x = 8,938,378,849
  5. Step 5: Solve for x
    x = 8,938,378,849/41,034.50
  6. Step 6: Final answer
    x = 217,825.95

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.