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Finding the Third Proportional to 87,354 and 181,620

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Solution

The third proportional to 87,354 and 181,620 is: 377,610.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,354 : 181,620 = 181,620 : x
  2. Step 2: Convert to fraction form
    87,354/181,620 = 181,620/x
  3. Step 3: Cross multiply
    87,354x = 181,620 × 181,620
  4. Step 4: Simplify right side
    87,354x = 32,985,824,400
  5. Step 5: Solve for x
    x = 32,985,824,400/87,354
  6. Step 6: Final answer
    x = 377,610.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.