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Finding the Third Proportional to 40,287 and 56,632

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Solution

The third proportional to 40,287 and 56,632 is: 79,608.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,287 : 56,632 = 56,632 : x
  2. Step 2: Convert to fraction form
    40,287/56,632 = 56,632/x
  3. Step 3: Cross multiply
    40,287x = 56,632 × 56,632
  4. Step 4: Simplify right side
    40,287x = 3,207,183,424
  5. Step 5: Solve for x
    x = 3,207,183,424/40,287
  6. Step 6: Final answer
    x = 79,608.40

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.