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Finding the Third Proportional to 198,680 and 425,773

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Solution

The third proportional to 198,680 and 425,773 is: 912,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,680 : 425,773 = 425,773 : x
  2. Step 2: Convert to fraction form
    198,680/425,773 = 425,773/x
  3. Step 3: Cross multiply
    198,680x = 425,773 × 425,773
  4. Step 4: Simplify right side
    198,680x = 181,282,647,529
  5. Step 5: Solve for x
    x = 181,282,647,529/198,680
  6. Step 6: Final answer
    x = 912,435.31

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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.