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Finding the Third Proportional to 40,298 and 86,543

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Solution

The third proportional to 40,298 and 86,543 is: 185,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,298 : 86,543 = 86,543 : x
  2. Step 2: Convert to fraction form
    40,298/86,543 = 86,543/x
  3. Step 3: Cross multiply
    40,298x = 86,543 × 86,543
  4. Step 4: Simplify right side
    40,298x = 7,489,690,849
  5. Step 5: Solve for x
    x = 7,489,690,849/40,298
  6. Step 6: Final answer
    x = 185,857.63

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.