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Finding the Third Proportional to 486,600 and 774,864

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Solution

The third proportional to 486,600 and 774,864 is: 1,233,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,600 : 774,864 = 774,864 : x
  2. Step 2: Convert to fraction form
    486,600/774,864 = 774,864/x
  3. Step 3: Cross multiply
    486,600x = 774,864 × 774,864
  4. Step 4: Simplify right side
    486,600x = 600,414,218,496
  5. Step 5: Solve for x
    x = 600,414,218,496/486,600
  6. Step 6: Final answer
    x = 1,233,896.87

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.