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Finding the Third Proportional to 3,133.27 and 4,141.76

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Solution

The third proportional to 3,133.27 and 4,141.76 is: 5,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.27 : 4,141.76 = 4,141.76 : x
  2. Step 2: Convert to fraction form
    3,133.27/4,141.76 = 4,141.76/x
  3. Step 3: Cross multiply
    3,133.27x = 4,141.76 × 4,141.76
  4. Step 4: Simplify right side
    3,133.27x = 17,154,157.78
  5. Step 5: Solve for x
    x = 17,154,157.78/3,133.27
  6. Step 6: Final answer
    x = 5,474.85

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.