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Finding the Third Proportional to 40,209 and 81,498

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Solution

The third proportional to 40,209 and 81,498 is: 165,185.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,209 : 81,498 = 81,498 : x
  2. Step 2: Convert to fraction form
    40,209/81,498 = 81,498/x
  3. Step 3: Cross multiply
    40,209x = 81,498 × 81,498
  4. Step 4: Simplify right side
    40,209x = 6,641,924,004
  5. Step 5: Solve for x
    x = 6,641,924,004/40,209
  6. Step 6: Final answer
    x = 165,185.01

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.