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Finding the Third Proportional to 125,890 and 279,751

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Solution

The third proportional to 125,890 and 279,751 is: 621,658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,890 : 279,751 = 279,751 : x
  2. Step 2: Convert to fraction form
    125,890/279,751 = 279,751/x
  3. Step 3: Cross multiply
    125,890x = 279,751 × 279,751
  4. Step 4: Simplify right side
    125,890x = 78,260,622,001
  5. Step 5: Solve for x
    x = 78,260,622,001/125,890
  6. Step 6: Final answer
    x = 621,658.77

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.