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Finding the Third Proportional to 202,384 and 444,132

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Solution

The third proportional to 202,384 and 444,132 is: 974,648.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,384 : 444,132 = 444,132 : x
  2. Step 2: Convert to fraction form
    202,384/444,132 = 444,132/x
  3. Step 3: Cross multiply
    202,384x = 444,132 × 444,132
  4. Step 4: Simplify right side
    202,384x = 197,253,233,424
  5. Step 5: Solve for x
    x = 197,253,233,424/202,384
  6. Step 6: Final answer
    x = 974,648.36

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.