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Finding the Third Proportional to 247,709 and 379,559

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Solution

The third proportional to 247,709 and 379,559 is: 581,589.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,709 : 379,559 = 379,559 : x
  2. Step 2: Convert to fraction form
    247,709/379,559 = 379,559/x
  3. Step 3: Cross multiply
    247,709x = 379,559 × 379,559
  4. Step 4: Simplify right side
    247,709x = 144,065,034,481
  5. Step 5: Solve for x
    x = 144,065,034,481/247,709
  6. Step 6: Final answer
    x = 581,589.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.