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Finding the Third Proportional to 203,217 and 442,638

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Solution

The third proportional to 203,217 and 442,638 is: 964,133.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,217 : 442,638 = 442,638 : x
  2. Step 2: Convert to fraction form
    203,217/442,638 = 442,638/x
  3. Step 3: Cross multiply
    203,217x = 442,638 × 442,638
  4. Step 4: Simplify right side
    203,217x = 195,928,399,044
  5. Step 5: Solve for x
    x = 195,928,399,044/203,217
  6. Step 6: Final answer
    x = 964,133.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.