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Finding the Third Proportional to 83,240 and 128,080

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Solution

The third proportional to 83,240 and 128,080 is: 197,074.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,240 : 128,080 = 128,080 : x
  2. Step 2: Convert to fraction form
    83,240/128,080 = 128,080/x
  3. Step 3: Cross multiply
    83,240x = 128,080 × 128,080
  4. Step 4: Simplify right side
    83,240x = 16,404,486,400
  5. Step 5: Solve for x
    x = 16,404,486,400/83,240
  6. Step 6: Final answer
    x = 197,074.56

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.