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Finding the Third Proportional to 55,987 and 79,711

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Solution

The third proportional to 55,987 and 79,711 is: 113,487.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,987 : 79,711 = 79,711 : x
  2. Step 2: Convert to fraction form
    55,987/79,711 = 79,711/x
  3. Step 3: Cross multiply
    55,987x = 79,711 × 79,711
  4. Step 4: Simplify right side
    55,987x = 6,353,843,521
  5. Step 5: Solve for x
    x = 6,353,843,521/55,987
  6. Step 6: Final answer
    x = 113,487.84

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.