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Finding the Third Proportional to 198,608 and 425,642

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Solution

The third proportional to 198,608 and 425,642 is: 912,204.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,608 : 425,642 = 425,642 : x
  2. Step 2: Convert to fraction form
    198,608/425,642 = 425,642/x
  3. Step 3: Cross multiply
    198,608x = 425,642 × 425,642
  4. Step 4: Simplify right side
    198,608x = 181,171,112,164
  5. Step 5: Solve for x
    x = 181,171,112,164/198,608
  6. Step 6: Final answer
    x = 912,204.50

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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.