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Finding the Third Proportional to 136,769 and 219,751

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Solution

The third proportional to 136,769 and 219,751 is: 353,080.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,769 : 219,751 = 219,751 : x
  2. Step 2: Convert to fraction form
    136,769/219,751 = 219,751/x
  3. Step 3: Cross multiply
    136,769x = 219,751 × 219,751
  4. Step 4: Simplify right side
    136,769x = 48,290,502,001
  5. Step 5: Solve for x
    x = 48,290,502,001/136,769
  6. Step 6: Final answer
    x = 353,080.76

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.