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Finding the Third Proportional to 198,778 and 425,960

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Solution

The third proportional to 198,778 and 425,960 is: 912,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,778 : 425,960 = 425,960 : x
  2. Step 2: Convert to fraction form
    198,778/425,960 = 425,960/x
  3. Step 3: Cross multiply
    198,778x = 425,960 × 425,960
  4. Step 4: Simplify right side
    198,778x = 181,441,921,600
  5. Step 5: Solve for x
    x = 181,441,921,600/198,778
  6. Step 6: Final answer
    x = 912,786.73

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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.