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Finding the Third Proportional to 198,811.13 and 281,090.25

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Solution

The third proportional to 198,811.13 and 281,090.25 is: 397,421.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,811.13 : 281,090.25 = 281,090.25 : x
  2. Step 2: Convert to fraction form
    198,811.13/281,090.25 = 281,090.25/x
  3. Step 3: Cross multiply
    198,811.13x = 281,090.25 × 281,090.25
  4. Step 4: Simplify right side
    198,811.13x = 79,011,728,645.06
  5. Step 5: Solve for x
    x = 79,011,728,645.06/198,811.13
  6. Step 6: Final answer
    x = 397,421.06

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.