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Finding the Third Proportional to 71,987 and 107,994

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Solution

The third proportional to 71,987 and 107,994 is: 162,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,987 : 107,994 = 107,994 : x
  2. Step 2: Convert to fraction form
    71,987/107,994 = 107,994/x
  3. Step 3: Cross multiply
    71,987x = 107,994 × 107,994
  4. Step 4: Simplify right side
    71,987x = 11,662,704,036
  5. Step 5: Solve for x
    x = 11,662,704,036/71,987
  6. Step 6: Final answer
    x = 162,011.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.