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Finding the Third Proportional to 198,623 and 425,665

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Solution

The third proportional to 198,623 and 425,665 is: 912,234.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,623 : 425,665 = 425,665 : x
  2. Step 2: Convert to fraction form
    198,623/425,665 = 425,665/x
  3. Step 3: Cross multiply
    198,623x = 425,665 × 425,665
  4. Step 4: Simplify right side
    198,623x = 181,190,692,225
  5. Step 5: Solve for x
    x = 181,190,692,225/198,623
  6. Step 6: Final answer
    x = 912,234.19

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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.