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Finding the Third Proportional to 40,489.50 and 94,566

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Solution

The third proportional to 40,489.50 and 94,566 is: 220,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,489.50 : 94,566 = 94,566 : x
  2. Step 2: Convert to fraction form
    40,489.50/94,566 = 94,566/x
  3. Step 3: Cross multiply
    40,489.50x = 94,566 × 94,566
  4. Step 4: Simplify right side
    40,489.50x = 8,942,728,356
  5. Step 5: Solve for x
    x = 8,942,728,356/40,489.50
  6. Step 6: Final answer
    x = 220,865.37

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.