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Finding the Third Proportional to 87,821 and 189,466

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Solution

The third proportional to 87,821 and 189,466 is: 408,756.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,821 : 189,466 = 189,466 : x
  2. Step 2: Convert to fraction form
    87,821/189,466 = 189,466/x
  3. Step 3: Cross multiply
    87,821x = 189,466 × 189,466
  4. Step 4: Simplify right side
    87,821x = 35,897,365,156
  5. Step 5: Solve for x
    x = 35,897,365,156/87,821
  6. Step 6: Final answer
    x = 408,756.05

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.