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Finding the Third Proportional to 65,828 and 102,115

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Solution

The third proportional to 65,828 and 102,115 is: 158,404.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,828 : 102,115 = 102,115 : x
  2. Step 2: Convert to fraction form
    65,828/102,115 = 102,115/x
  3. Step 3: Cross multiply
    65,828x = 102,115 × 102,115
  4. Step 4: Simplify right side
    65,828x = 10,427,473,225
  5. Step 5: Solve for x
    x = 10,427,473,225/65,828
  6. Step 6: Final answer
    x = 158,404.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.