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Finding the Third Proportional to 198,606 and 425,638

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Solution

The third proportional to 198,606 and 425,638 is: 912,196.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,606 : 425,638 = 425,638 : x
  2. Step 2: Convert to fraction form
    198,606/425,638 = 425,638/x
  3. Step 3: Cross multiply
    198,606x = 425,638 × 425,638
  4. Step 4: Simplify right side
    198,606x = 181,167,707,044
  5. Step 5: Solve for x
    x = 181,167,707,044/198,606
  6. Step 6: Final answer
    x = 912,196.55

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.