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Finding the Third Proportional to 45,331 and 74,915

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Solution

The third proportional to 45,331 and 74,915 is: 123,806.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331 : 74,915 = 74,915 : x
  2. Step 2: Convert to fraction form
    45,331/74,915 = 74,915/x
  3. Step 3: Cross multiply
    45,331x = 74,915 × 74,915
  4. Step 4: Simplify right side
    45,331x = 5,612,257,225
  5. Step 5: Solve for x
    x = 5,612,257,225/45,331
  6. Step 6: Final answer
    x = 123,806.16

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.