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Finding the Third Proportional to 198,774 and 425,952

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Solution

The third proportional to 198,774 and 425,952 is: 912,770.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,774 : 425,952 = 425,952 : x
  2. Step 2: Convert to fraction form
    198,774/425,952 = 425,952/x
  3. Step 3: Cross multiply
    198,774x = 425,952 × 425,952
  4. Step 4: Simplify right side
    198,774x = 181,435,106,304
  5. Step 5: Solve for x
    x = 181,435,106,304/198,774
  6. Step 6: Final answer
    x = 912,770.82

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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.