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Finding the Third Proportional to 13,686.50 and 20,042

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Solution

The third proportional to 13,686.50 and 20,042 is: 29,348.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686.50 : 20,042 = 20,042 : x
  2. Step 2: Convert to fraction form
    13,686.50/20,042 = 20,042/x
  3. Step 3: Cross multiply
    13,686.50x = 20,042 × 20,042
  4. Step 4: Simplify right side
    13,686.50x = 401,681,764
  5. Step 5: Solve for x
    x = 401,681,764/13,686.50
  6. Step 6: Final answer
    x = 29,348.76

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.