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Finding the Third Proportional to 128,121.75 and 280,377

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Solution

The third proportional to 128,121.75 and 280,377 is: 613,566.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,121.75 : 280,377 = 280,377 : x
  2. Step 2: Convert to fraction form
    128,121.75/280,377 = 280,377/x
  3. Step 3: Cross multiply
    128,121.75x = 280,377 × 280,377
  4. Step 4: Simplify right side
    128,121.75x = 78,611,262,129
  5. Step 5: Solve for x
    x = 78,611,262,129/128,121.75
  6. Step 6: Final answer
    x = 613,566.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.