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Finding the Third Proportional to 83,022 and 118,620

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Solution

The third proportional to 83,022 and 118,620 is: 169,481.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,022 : 118,620 = 118,620 : x
  2. Step 2: Convert to fraction form
    83,022/118,620 = 118,620/x
  3. Step 3: Cross multiply
    83,022x = 118,620 × 118,620
  4. Step 4: Simplify right side
    83,022x = 14,070,704,400
  5. Step 5: Solve for x
    x = 14,070,704,400/83,022
  6. Step 6: Final answer
    x = 169,481.64

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.