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Finding the Third Proportional to 3,118.50 and 6,589.50

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Solution

The third proportional to 3,118.50 and 6,589.50 is: 13,923.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,118.50 : 6,589.50 = 6,589.50 : x
  2. Step 2: Convert to fraction form
    3,118.50/6,589.50 = 6,589.50/x
  3. Step 3: Cross multiply
    3,118.50x = 6,589.50 × 6,589.50
  4. Step 4: Simplify right side
    3,118.50x = 43,421,510.25
  5. Step 5: Solve for x
    x = 43,421,510.25/3,118.50
  6. Step 6: Final answer
    x = 13,923.84

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.