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Finding the Third Proportional to 90,712 and 192,200

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Solution

The third proportional to 90,712 and 192,200 is: 407,232.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,712 : 192,200 = 192,200 : x
  2. Step 2: Convert to fraction form
    90,712/192,200 = 192,200/x
  3. Step 3: Cross multiply
    90,712x = 192,200 × 192,200
  4. Step 4: Simplify right side
    90,712x = 36,940,840,000
  5. Step 5: Solve for x
    x = 36,940,840,000/90,712
  6. Step 6: Final answer
    x = 407,232.12

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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.