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Finding the Third Proportional to 5,989.50 and 9,568.13

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Solution

The third proportional to 5,989.50 and 9,568.13 is: 15,284.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,989.50 : 9,568.13 = 9,568.13 : x
  2. Step 2: Convert to fraction form
    5,989.50/9,568.13 = 9,568.13/x
  3. Step 3: Cross multiply
    5,989.50x = 9,568.13 × 9,568.13
  4. Step 4: Simplify right side
    5,989.50x = 91,549,016.02
  5. Step 5: Solve for x
    x = 91,549,016.02/5,989.50
  6. Step 6: Final answer
    x = 15,284.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.