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Finding the Third Proportional to 198,502 and 431,993

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Solution

The third proportional to 198,502 and 431,993 is: 940,131.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,502 : 431,993 = 431,993 : x
  2. Step 2: Convert to fraction form
    198,502/431,993 = 431,993/x
  3. Step 3: Cross multiply
    198,502x = 431,993 × 431,993
  4. Step 4: Simplify right side
    198,502x = 186,617,952,049
  5. Step 5: Solve for x
    x = 186,617,952,049/198,502
  6. Step 6: Final answer
    x = 940,131.34

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.