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Finding the Third Proportional to 322,870 and 658,880

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Solution

The third proportional to 322,870 and 658,880 is: 1,344,574.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,870 : 658,880 = 658,880 : x
  2. Step 2: Convert to fraction form
    322,870/658,880 = 658,880/x
  3. Step 3: Cross multiply
    322,870x = 658,880 × 658,880
  4. Step 4: Simplify right side
    322,870x = 434,122,854,400
  5. Step 5: Solve for x
    x = 434,122,854,400/322,870
  6. Step 6: Final answer
    x = 1,344,574.77

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.