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Finding the Third Proportional to 11,699 and 15,178.75

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Solution

The third proportional to 11,699 and 15,178.75 is: 19,693.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,699 : 15,178.75 = 15,178.75 : x
  2. Step 2: Convert to fraction form
    11,699/15,178.75 = 15,178.75/x
  3. Step 3: Cross multiply
    11,699x = 15,178.75 × 15,178.75
  4. Step 4: Simplify right side
    11,699x = 230,394,451.56
  5. Step 5: Solve for x
    x = 230,394,451.56/11,699
  6. Step 6: Final answer
    x = 19,693.52

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.