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Finding the Third Proportional to 83,662 and 163,120

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Solution

The third proportional to 83,662 and 163,120 is: 318,043.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,662 : 163,120 = 163,120 : x
  2. Step 2: Convert to fraction form
    83,662/163,120 = 163,120/x
  3. Step 3: Cross multiply
    83,662x = 163,120 × 163,120
  4. Step 4: Simplify right side
    83,662x = 26,608,134,400
  5. Step 5: Solve for x
    x = 26,608,134,400/83,662
  6. Step 6: Final answer
    x = 318,043.25

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.