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Finding the Third Proportional to 486,569 and 774,821

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Solution

The third proportional to 486,569 and 774,821 is: 1,233,838.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,569 : 774,821 = 774,821 : x
  2. Step 2: Convert to fraction form
    486,569/774,821 = 774,821/x
  3. Step 3: Cross multiply
    486,569x = 774,821 × 774,821
  4. Step 4: Simplify right side
    486,569x = 600,347,582,041
  5. Step 5: Solve for x
    x = 600,347,582,041/486,569
  6. Step 6: Final answer
    x = 1,233,838.53

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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.