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Finding the Third Proportional to 302,112 and 663,872

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Solution

The third proportional to 302,112 and 663,872 is: 1,458,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,112 : 663,872 = 663,872 : x
  2. Step 2: Convert to fraction form
    302,112/663,872 = 663,872/x
  3. Step 3: Cross multiply
    302,112x = 663,872 × 663,872
  4. Step 4: Simplify right side
    302,112x = 440,726,032,384
  5. Step 5: Solve for x
    x = 440,726,032,384/302,112
  6. Step 6: Final answer
    x = 1,458,816.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.