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Finding the Third Proportional to 778,306 and 1,689,474

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Solution

The third proportional to 778,306 and 1,689,474 is: 3,667,352.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,306 : 1,689,474 = 1,689,474 : x
  2. Step 2: Convert to fraction form
    778,306/1,689,474 = 1,689,474/x
  3. Step 3: Cross multiply
    778,306x = 1,689,474 × 1,689,474
  4. Step 4: Simplify right side
    778,306x = 2,854,322,396,676
  5. Step 5: Solve for x
    x = 2,854,322,396,676/778,306
  6. Step 6: Final answer
    x = 3,667,352.43

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.