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Finding the Third Proportional to 3,948 and 7,288.50

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Solution

The third proportional to 3,948 and 7,288.50 is: 13,455.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,948 : 7,288.50 = 7,288.50 : x
  2. Step 2: Convert to fraction form
    3,948/7,288.50 = 7,288.50/x
  3. Step 3: Cross multiply
    3,948x = 7,288.50 × 7,288.50
  4. Step 4: Simplify right side
    3,948x = 53,122,232.25
  5. Step 5: Solve for x
    x = 53,122,232.25/3,948
  6. Step 6: Final answer
    x = 13,455.48

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.