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Finding the Third Proportional to 121,129 and 169,738

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Solution

The third proportional to 121,129 and 169,738 is: 237,853.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129 : 169,738 = 169,738 : x
  2. Step 2: Convert to fraction form
    121,129/169,738 = 169,738/x
  3. Step 3: Cross multiply
    121,129x = 169,738 × 169,738
  4. Step 4: Simplify right side
    121,129x = 28,810,988,644
  5. Step 5: Solve for x
    x = 28,810,988,644/121,129
  6. Step 6: Final answer
    x = 237,853.76

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.