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Finding the Third Proportional to 11,719.69 and 18,652.78

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Solution

The third proportional to 11,719.69 and 18,652.78 is: 29,687.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,719.69 : 18,652.78 = 18,652.78 : x
  2. Step 2: Convert to fraction form
    11,719.69/18,652.78 = 18,652.78/x
  3. Step 3: Cross multiply
    11,719.69x = 18,652.78 × 18,652.78
  4. Step 4: Simplify right side
    11,719.69x = 347,926,248.36
  5. Step 5: Solve for x
    x = 347,926,248.36/11,719.69
  6. Step 6: Final answer
    x = 29,687.33

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.