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Finding the Third Proportional to 87,904 and 192,480

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Solution

The third proportional to 87,904 and 192,480 is: 421,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,904 : 192,480 = 192,480 : x
  2. Step 2: Convert to fraction form
    87,904/192,480 = 192,480/x
  3. Step 3: Cross multiply
    87,904x = 192,480 × 192,480
  4. Step 4: Simplify right side
    87,904x = 37,048,550,400
  5. Step 5: Solve for x
    x = 37,048,550,400/87,904
  6. Step 6: Final answer
    x = 421,466.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.