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Finding the Third Proportional to 19,489.50 and 38,187

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Solution

The third proportional to 19,489.50 and 38,187 is: 74,822.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,489.50 : 38,187 = 38,187 : x
  2. Step 2: Convert to fraction form
    19,489.50/38,187 = 38,187/x
  3. Step 3: Cross multiply
    19,489.50x = 38,187 × 38,187
  4. Step 4: Simplify right side
    19,489.50x = 1,458,246,969
  5. Step 5: Solve for x
    x = 1,458,246,969/19,489.50
  6. Step 6: Final answer
    x = 74,822.18

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.