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Finding the Third Proportional to 40,291 and 87,278

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Solution

The third proportional to 40,291 and 87,278 is: 189,060.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,291 : 87,278 = 87,278 : x
  2. Step 2: Convert to fraction form
    40,291/87,278 = 87,278/x
  3. Step 3: Cross multiply
    40,291x = 87,278 × 87,278
  4. Step 4: Simplify right side
    40,291x = 7,617,449,284
  5. Step 5: Solve for x
    x = 7,617,449,284/40,291
  6. Step 6: Final answer
    x = 189,060.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.