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Finding the Third Proportional to 215,421 and 301,872

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Solution

The third proportional to 215,421 and 301,872 is: 423,016.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,421 : 301,872 = 301,872 : x
  2. Step 2: Convert to fraction form
    215,421/301,872 = 301,872/x
  3. Step 3: Cross multiply
    215,421x = 301,872 × 301,872
  4. Step 4: Simplify right side
    215,421x = 91,126,704,384
  5. Step 5: Solve for x
    x = 91,126,704,384/215,421
  6. Step 6: Final answer
    x = 423,016.81

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.