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Finding the Third Proportional to 6,720.15 and 9,399.16

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Solution

The third proportional to 6,720.15 and 9,399.16 is: 13,146.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.15 : 9,399.16 = 9,399.16 : x
  2. Step 2: Convert to fraction form
    6,720.15/9,399.16 = 9,399.16/x
  3. Step 3: Cross multiply
    6,720.15x = 9,399.16 × 9,399.16
  4. Step 4: Simplify right side
    6,720.15x = 88,344,285.07
  5. Step 5: Solve for x
    x = 88,344,285.07/6,720.15
  6. Step 6: Final answer
    x = 13,146.17

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.