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Finding the Third Proportional to 128,163 and 281,007

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Solution

The third proportional to 128,163 and 281,007 is: 616,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,163 : 281,007 = 281,007 : x
  2. Step 2: Convert to fraction form
    128,163/281,007 = 281,007/x
  3. Step 3: Cross multiply
    128,163x = 281,007 × 281,007
  4. Step 4: Simplify right side
    128,163x = 78,964,934,049
  5. Step 5: Solve for x
    x = 78,964,934,049/128,163
  6. Step 6: Final answer
    x = 616,128.95

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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.