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Finding the Third Proportional to 120,128 and 247,872

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Solution

The third proportional to 120,128 and 247,872 is: 511,458.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,128 : 247,872 = 247,872 : x
  2. Step 2: Convert to fraction form
    120,128/247,872 = 247,872/x
  3. Step 3: Cross multiply
    120,128x = 247,872 × 247,872
  4. Step 4: Simplify right side
    120,128x = 61,440,528,384
  5. Step 5: Solve for x
    x = 61,440,528,384/120,128
  6. Step 6: Final answer
    x = 511,458.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.