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Finding the Third Proportional to 169,129 and 371,738

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Solution

The third proportional to 169,129 and 371,738 is: 817,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,129 : 371,738 = 371,738 : x
  2. Step 2: Convert to fraction form
    169,129/371,738 = 371,738/x
  3. Step 3: Cross multiply
    169,129x = 371,738 × 371,738
  4. Step 4: Simplify right side
    169,129x = 138,189,140,644
  5. Step 5: Solve for x
    x = 138,189,140,644/169,129
  6. Step 6: Final answer
    x = 817,063.55

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.