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Finding the Third Proportional to 198,686 and 425,781

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Solution

The third proportional to 198,686 and 425,781 is: 912,442.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,686 : 425,781 = 425,781 : x
  2. Step 2: Convert to fraction form
    198,686/425,781 = 425,781/x
  3. Step 3: Cross multiply
    198,686x = 425,781 × 425,781
  4. Step 4: Simplify right side
    198,686x = 181,289,459,961
  5. Step 5: Solve for x
    x = 181,289,459,961/198,686
  6. Step 6: Final answer
    x = 912,442.04

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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.