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Finding the Third Proportional to 215,868 and 321,582

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Solution

The third proportional to 215,868 and 321,582 is: 479,065.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,868 : 321,582 = 321,582 : x
  2. Step 2: Convert to fraction form
    215,868/321,582 = 321,582/x
  3. Step 3: Cross multiply
    215,868x = 321,582 × 321,582
  4. Step 4: Simplify right side
    215,868x = 103,414,982,724
  5. Step 5: Solve for x
    x = 103,414,982,724/215,868
  6. Step 6: Final answer
    x = 479,065.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.