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Finding the Third Proportional to 84,129 and 179,931

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Solution

The third proportional to 84,129 and 179,931 is: 384,827.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,129 : 179,931 = 179,931 : x
  2. Step 2: Convert to fraction form
    84,129/179,931 = 179,931/x
  3. Step 3: Cross multiply
    84,129x = 179,931 × 179,931
  4. Step 4: Simplify right side
    84,129x = 32,375,164,761
  5. Step 5: Solve for x
    x = 32,375,164,761/84,129
  6. Step 6: Final answer
    x = 384,827.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.