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Finding the Third Proportional to 129,027 and 178,291

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Solution

The third proportional to 129,027 and 178,291 is: 246,364.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027 : 178,291 = 178,291 : x
  2. Step 2: Convert to fraction form
    129,027/178,291 = 178,291/x
  3. Step 3: Cross multiply
    129,027x = 178,291 × 178,291
  4. Step 4: Simplify right side
    129,027x = 31,787,680,681
  5. Step 5: Solve for x
    x = 31,787,680,681/129,027
  6. Step 6: Final answer
    x = 246,364.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.