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Finding the Third Proportional to 13,986.50 and 21,114.75

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Solution

The third proportional to 13,986.50 and 21,114.75 is: 31,875.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,986.50 : 21,114.75 = 21,114.75 : x
  2. Step 2: Convert to fraction form
    13,986.50/21,114.75 = 21,114.75/x
  3. Step 3: Cross multiply
    13,986.50x = 21,114.75 × 21,114.75
  4. Step 4: Simplify right side
    13,986.50x = 445,832,667.56
  5. Step 5: Solve for x
    x = 445,832,667.56/13,986.50
  6. Step 6: Final answer
    x = 31,875.93

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.