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Finding the Third Proportional to 3,970.50 and 8,718.75

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Solution

The third proportional to 3,970.50 and 8,718.75 is: 19,145.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.50 : 8,718.75 = 8,718.75 : x
  2. Step 2: Convert to fraction form
    3,970.50/8,718.75 = 8,718.75/x
  3. Step 3: Cross multiply
    3,970.50x = 8,718.75 × 8,718.75
  4. Step 4: Simplify right side
    3,970.50x = 76,016,601.56
  5. Step 5: Solve for x
    x = 76,016,601.56/3,970.50
  6. Step 6: Final answer
    x = 19,145.35

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.