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Finding the Third Proportional to 298,731 and 656,538

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Solution

The third proportional to 298,731 and 656,538 is: 1,442,910.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,731 : 656,538 = 656,538 : x
  2. Step 2: Convert to fraction form
    298,731/656,538 = 656,538/x
  3. Step 3: Cross multiply
    298,731x = 656,538 × 656,538
  4. Step 4: Simplify right side
    298,731x = 431,042,145,444
  5. Step 5: Solve for x
    x = 431,042,145,444/298,731
  6. Step 6: Final answer
    x = 1,442,910.66

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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.