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Finding the Third Proportional to 40,908 and 87,643

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Solution

The third proportional to 40,908 and 87,643 is: 187,770.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,908 : 87,643 = 87,643 : x
  2. Step 2: Convert to fraction form
    40,908/87,643 = 87,643/x
  3. Step 3: Cross multiply
    40,908x = 87,643 × 87,643
  4. Step 4: Simplify right side
    40,908x = 7,681,295,449
  5. Step 5: Solve for x
    x = 7,681,295,449/40,908
  6. Step 6: Final answer
    x = 187,770.01

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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.