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Finding the Third Proportional to 129,027 and 195,486

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Solution

The third proportional to 129,027 and 195,486 is: 296,176.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,027 : 195,486 = 195,486 : x
  2. Step 2: Convert to fraction form
    129,027/195,486 = 195,486/x
  3. Step 3: Cross multiply
    129,027x = 195,486 × 195,486
  4. Step 4: Simplify right side
    129,027x = 38,214,776,196
  5. Step 5: Solve for x
    x = 38,214,776,196/129,027
  6. Step 6: Final answer
    x = 296,176.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.