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Finding the Third Proportional to 40,438 and 86,418

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Solution

The third proportional to 40,438 and 86,418 is: 184,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,438 : 86,418 = 86,418 : x
  2. Step 2: Convert to fraction form
    40,438/86,418 = 86,418/x
  3. Step 3: Cross multiply
    40,438x = 86,418 × 86,418
  4. Step 4: Simplify right side
    40,438x = 7,468,070,724
  5. Step 5: Solve for x
    x = 7,468,070,724/40,438
  6. Step 6: Final answer
    x = 184,679.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.