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Finding the Third Proportional to 125,253 and 194,244.75

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Solution

The third proportional to 125,253 and 194,244.75 is: 301,238.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,253 : 194,244.75 = 194,244.75 : x
  2. Step 2: Convert to fraction form
    125,253/194,244.75 = 194,244.75/x
  3. Step 3: Cross multiply
    125,253x = 194,244.75 × 194,244.75
  4. Step 4: Simplify right side
    125,253x = 37,731,022,902.56
  5. Step 5: Solve for x
    x = 37,731,022,902.56/125,253
  6. Step 6: Final answer
    x = 301,238.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.