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Finding the Third Proportional to 40,902 and 86,519

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Solution

The third proportional to 40,902 and 86,519 is: 183,011.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,902 : 86,519 = 86,519 : x
  2. Step 2: Convert to fraction form
    40,902/86,519 = 86,519/x
  3. Step 3: Cross multiply
    40,902x = 86,519 × 86,519
  4. Step 4: Simplify right side
    40,902x = 7,485,537,361
  5. Step 5: Solve for x
    x = 7,485,537,361/40,902
  6. Step 6: Final answer
    x = 183,011.52

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.