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Finding the Third Proportional to 516,578 and 774,837

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Solution

The third proportional to 516,578 and 774,837 is: 1,162,210.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,578 : 774,837 = 774,837 : x
  2. Step 2: Convert to fraction form
    516,578/774,837 = 774,837/x
  3. Step 3: Cross multiply
    516,578x = 774,837 × 774,837
  4. Step 4: Simplify right side
    516,578x = 600,372,376,569
  5. Step 5: Solve for x
    x = 600,372,376,569/516,578
  6. Step 6: Final answer
    x = 1,162,210.50

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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.