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Finding the Third Proportional to 328,874 and 491,990

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Solution

The third proportional to 328,874 and 491,990 is: 736,008.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,874 : 491,990 = 491,990 : x
  2. Step 2: Convert to fraction form
    328,874/491,990 = 491,990/x
  3. Step 3: Cross multiply
    328,874x = 491,990 × 491,990
  4. Step 4: Simplify right side
    328,874x = 242,054,160,100
  5. Step 5: Solve for x
    x = 242,054,160,100/328,874
  6. Step 6: Final answer
    x = 736,008.81

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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.