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Finding the Third Proportional to 86,520 and 191,828

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Solution

The third proportional to 86,520 and 191,828 is: 425,311.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,520 : 191,828 = 191,828 : x
  2. Step 2: Convert to fraction form
    86,520/191,828 = 191,828/x
  3. Step 3: Cross multiply
    86,520x = 191,828 × 191,828
  4. Step 4: Simplify right side
    86,520x = 36,797,981,584
  5. Step 5: Solve for x
    x = 36,797,981,584/86,520
  6. Step 6: Final answer
    x = 425,311.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.