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Finding the Third Proportional to 88,508 and 192,565

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Solution

The third proportional to 88,508 and 192,565 is: 418,959.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,508 : 192,565 = 192,565 : x
  2. Step 2: Convert to fraction form
    88,508/192,565 = 192,565/x
  3. Step 3: Cross multiply
    88,508x = 192,565 × 192,565
  4. Step 4: Simplify right side
    88,508x = 37,081,279,225
  5. Step 5: Solve for x
    x = 37,081,279,225/88,508
  6. Step 6: Final answer
    x = 418,959.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.