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Finding the Third Proportional to 128,882 and 282,980

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Solution

The third proportional to 128,882 and 282,980 is: 621,325.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,882 : 282,980 = 282,980 : x
  2. Step 2: Convert to fraction form
    128,882/282,980 = 282,980/x
  3. Step 3: Cross multiply
    128,882x = 282,980 × 282,980
  4. Step 4: Simplify right side
    128,882x = 80,077,680,400
  5. Step 5: Solve for x
    x = 80,077,680,400/128,882
  6. Step 6: Final answer
    x = 621,325.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.