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Finding the Third Proportional to 13,540.50 and 20,925.38

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Solution

The third proportional to 13,540.50 and 20,925.38 is: 32,337.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,540.50 : 20,925.38 = 20,925.38 : x
  2. Step 2: Convert to fraction form
    13,540.50/20,925.38 = 20,925.38/x
  3. Step 3: Cross multiply
    13,540.50x = 20,925.38 × 20,925.38
  4. Step 4: Simplify right side
    13,540.50x = 437,871,318.89
  5. Step 5: Solve for x
    x = 437,871,318.89/13,540.50
  6. Step 6: Final answer
    x = 32,337.90

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.