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Finding the Third Proportional to 486,658 and 650,976

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Solution

The third proportional to 486,658 and 650,976 is: 870,775.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,658 : 650,976 = 650,976 : x
  2. Step 2: Convert to fraction form
    486,658/650,976 = 650,976/x
  3. Step 3: Cross multiply
    486,658x = 650,976 × 650,976
  4. Step 4: Simplify right side
    486,658x = 423,769,752,576
  5. Step 5: Solve for x
    x = 423,769,752,576/486,658
  6. Step 6: Final answer
    x = 870,775.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.