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Finding the Third Proportional to 198,006 and 425,865.75

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Solution

The third proportional to 198,006 and 425,865.75 is: 915,940.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,006 : 425,865.75 = 425,865.75 : x
  2. Step 2: Convert to fraction form
    198,006/425,865.75 = 425,865.75/x
  3. Step 3: Cross multiply
    198,006x = 425,865.75 × 425,865.75
  4. Step 4: Simplify right side
    198,006x = 181,361,637,023.06
  5. Step 5: Solve for x
    x = 181,361,637,023.06/198,006
  6. Step 6: Final answer
    x = 915,940.11

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.