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Finding the Third Proportional to 513,578 and 771,919

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Solution

The third proportional to 513,578 and 771,919 is: 1,160,211.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,578 : 771,919 = 771,919 : x
  2. Step 2: Convert to fraction form
    513,578/771,919 = 771,919/x
  3. Step 3: Cross multiply
    513,578x = 771,919 × 771,919
  4. Step 4: Simplify right side
    513,578x = 595,858,942,561
  5. Step 5: Solve for x
    x = 595,858,942,561/513,578
  6. Step 6: Final answer
    x = 1,160,211.19

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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.