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Finding the Third Proportional to 144,196.50 and 226,191

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Solution

The third proportional to 144,196.50 and 226,191 is: 354,810.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,196.50 : 226,191 = 226,191 : x
  2. Step 2: Convert to fraction form
    144,196.50/226,191 = 226,191/x
  3. Step 3: Cross multiply
    144,196.50x = 226,191 × 226,191
  4. Step 4: Simplify right side
    144,196.50x = 51,162,368,481
  5. Step 5: Solve for x
    x = 51,162,368,481/144,196.50
  6. Step 6: Final answer
    x = 354,810.06

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.