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Finding the Third Proportional to 328,707 and 493,059

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Solution

The third proportional to 328,707 and 493,059 is: 739,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,707 : 493,059 = 493,059 : x
  2. Step 2: Convert to fraction form
    328,707/493,059 = 493,059/x
  3. Step 3: Cross multiply
    328,707x = 493,059 × 493,059
  4. Step 4: Simplify right side
    328,707x = 243,107,177,481
  5. Step 5: Solve for x
    x = 243,107,177,481/328,707
  6. Step 6: Final answer
    x = 739,586.25

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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.