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Finding the Third Proportional to 87,369 and 205,381

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Solution

The third proportional to 87,369 and 205,381 is: 482,795.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,369 : 205,381 = 205,381 : x
  2. Step 2: Convert to fraction form
    87,369/205,381 = 205,381/x
  3. Step 3: Cross multiply
    87,369x = 205,381 × 205,381
  4. Step 4: Simplify right side
    87,369x = 42,181,355,161
  5. Step 5: Solve for x
    x = 42,181,355,161/87,369
  6. Step 6: Final answer
    x = 482,795.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.