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Finding the Third Proportional to 39,843 and 86,711

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Solution

The third proportional to 39,843 and 86,711 is: 188,710.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,843 : 86,711 = 86,711 : x
  2. Step 2: Convert to fraction form
    39,843/86,711 = 86,711/x
  3. Step 3: Cross multiply
    39,843x = 86,711 × 86,711
  4. Step 4: Simplify right side
    39,843x = 7,518,797,521
  5. Step 5: Solve for x
    x = 7,518,797,521/39,843
  6. Step 6: Final answer
    x = 188,710.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.