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Finding the Third Proportional to 85,872 and 129,456

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Solution

The third proportional to 85,872 and 129,456 is: 195,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 129,456 = 129,456 : x
  2. Step 2: Convert to fraction form
    85,872/129,456 = 129,456/x
  3. Step 3: Cross multiply
    85,872x = 129,456 × 129,456
  4. Step 4: Simplify right side
    85,872x = 16,758,855,936
  5. Step 5: Solve for x
    x = 16,758,855,936/85,872
  6. Step 6: Final answer
    x = 195,160.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.