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Finding the Third Proportional to 215,427 and 328,972

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Solution

The third proportional to 215,427 and 328,972 is: 502,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,427 : 328,972 = 328,972 : x
  2. Step 2: Convert to fraction form
    215,427/328,972 = 328,972/x
  3. Step 3: Cross multiply
    215,427x = 328,972 × 328,972
  4. Step 4: Simplify right side
    215,427x = 108,222,576,784
  5. Step 5: Solve for x
    x = 108,222,576,784/215,427
  6. Step 6: Final answer
    x = 502,363.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.