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Finding the Third Proportional to 2,509.73 and 3,972.80

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Solution

The third proportional to 2,509.73 and 3,972.80 is: 6,288.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,509.73 : 3,972.80 = 3,972.80 : x
  2. Step 2: Convert to fraction form
    2,509.73/3,972.80 = 3,972.80/x
  3. Step 3: Cross multiply
    2,509.73x = 3,972.80 × 3,972.80
  4. Step 4: Simplify right side
    2,509.73x = 15,783,115.01
  5. Step 5: Solve for x
    x = 15,783,115.01/2,509.73
  6. Step 6: Final answer
    x = 6,288.76

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.