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Finding the Third Proportional to 90,952 and 192,720

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Solution

The third proportional to 90,952 and 192,720 is: 408,358.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,952 : 192,720 = 192,720 : x
  2. Step 2: Convert to fraction form
    90,952/192,720 = 192,720/x
  3. Step 3: Cross multiply
    90,952x = 192,720 × 192,720
  4. Step 4: Simplify right side
    90,952x = 37,140,998,400
  5. Step 5: Solve for x
    x = 37,140,998,400/90,952
  6. Step 6: Final answer
    x = 408,358.24

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.