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Finding the Third Proportional to 486,366 and 776,976

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Solution

The third proportional to 486,366 and 776,976 is: 1,241,229.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,366 : 776,976 = 776,976 : x
  2. Step 2: Convert to fraction form
    486,366/776,976 = 776,976/x
  3. Step 3: Cross multiply
    486,366x = 776,976 × 776,976
  4. Step 4: Simplify right side
    486,366x = 603,691,704,576
  5. Step 5: Solve for x
    x = 603,691,704,576/486,366
  6. Step 6: Final answer
    x = 1,241,229.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.