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Finding the Third Proportional to 7,669.69 and 9,268.17

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Solution

The third proportional to 7,669.69 and 9,268.17 is: 11,199.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,669.69 : 9,268.17 = 9,268.17 : x
  2. Step 2: Convert to fraction form
    7,669.69/9,268.17 = 9,268.17/x
  3. Step 3: Cross multiply
    7,669.69x = 9,268.17 × 9,268.17
  4. Step 4: Simplify right side
    7,669.69x = 85,899,009.90
  5. Step 5: Solve for x
    x = 85,899,009.90/7,669.69
  6. Step 6: Final answer
    x = 11,199.81

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Why These Related Problems?

These problems maintain the same ratio (1.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.