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Finding the Third Proportional to 85,872 and 115,685

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Solution

The third proportional to 85,872 and 115,685 is: 155,848.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,872 : 115,685 = 115,685 : x
  2. Step 2: Convert to fraction form
    85,872/115,685 = 115,685/x
  3. Step 3: Cross multiply
    85,872x = 115,685 × 115,685
  4. Step 4: Simplify right side
    85,872x = 13,383,019,225
  5. Step 5: Solve for x
    x = 13,383,019,225/85,872
  6. Step 6: Final answer
    x = 155,848.46

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.