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Finding the Third Proportional to 215,872 and 321,592

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Solution

The third proportional to 215,872 and 321,592 is: 479,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,872 : 321,592 = 321,592 : x
  2. Step 2: Convert to fraction form
    215,872/321,592 = 321,592/x
  3. Step 3: Cross multiply
    215,872x = 321,592 × 321,592
  4. Step 4: Simplify right side
    215,872x = 103,421,414,464
  5. Step 5: Solve for x
    x = 103,421,414,464/215,872
  6. Step 6: Final answer
    x = 479,086.75

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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.