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Finding the Third Proportional to 84,162 and 130,915

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Solution

The third proportional to 84,162 and 130,915 is: 203,639.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,162 : 130,915 = 130,915 : x
  2. Step 2: Convert to fraction form
    84,162/130,915 = 130,915/x
  3. Step 3: Cross multiply
    84,162x = 130,915 × 130,915
  4. Step 4: Simplify right side
    84,162x = 17,138,737,225
  5. Step 5: Solve for x
    x = 17,138,737,225/84,162
  6. Step 6: Final answer
    x = 203,639.85

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.