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Finding the Third Proportional to 87,480 and 192,577.50

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Solution

The third proportional to 87,480 and 192,577.50 is: 423,937.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,480 : 192,577.50 = 192,577.50 : x
  2. Step 2: Convert to fraction form
    87,480/192,577.50 = 192,577.50/x
  3. Step 3: Cross multiply
    87,480x = 192,577.50 × 192,577.50
  4. Step 4: Simplify right side
    87,480x = 37,086,093,506.25
  5. Step 5: Solve for x
    x = 37,086,093,506.25/87,480
  6. Step 6: Final answer
    x = 423,937.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.