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Finding the Third Proportional to 147,711 and 324,990

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Solution

The third proportional to 147,711 and 324,990 is: 715,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,711 : 324,990 = 324,990 : x
  2. Step 2: Convert to fraction form
    147,711/324,990 = 324,990/x
  3. Step 3: Cross multiply
    147,711x = 324,990 × 324,990
  4. Step 4: Simplify right side
    147,711x = 105,618,500,100
  5. Step 5: Solve for x
    x = 105,618,500,100/147,711
  6. Step 6: Final answer
    x = 715,034.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.