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Finding the Third Proportional to 40,508 and 54,530

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Solution

The third proportional to 40,508 and 54,530 is: 73,405.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,508 : 54,530 = 54,530 : x
  2. Step 2: Convert to fraction form
    40,508/54,530 = 54,530/x
  3. Step 3: Cross multiply
    40,508x = 54,530 × 54,530
  4. Step 4: Simplify right side
    40,508x = 2,973,520,900
  5. Step 5: Solve for x
    x = 2,973,520,900/40,508
  6. Step 6: Final answer
    x = 73,405.77

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.