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Finding the Third Proportional to 40,468 and 82,940

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Solution

The third proportional to 40,468 and 82,940 is: 169,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,468 : 82,940 = 82,940 : x
  2. Step 2: Convert to fraction form
    40,468/82,940 = 82,940/x
  3. Step 3: Cross multiply
    40,468x = 82,940 × 82,940
  4. Step 4: Simplify right side
    40,468x = 6,879,043,600
  5. Step 5: Solve for x
    x = 6,879,043,600/40,468
  6. Step 6: Final answer
    x = 169,987.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.