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Finding the Third Proportional to 9,111.94 and 11,643.19

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Solution

The third proportional to 9,111.94 and 11,643.19 is: 14,877.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.94 : 11,643.19 = 11,643.19 : x
  2. Step 2: Convert to fraction form
    9,111.94/11,643.19 = 11,643.19/x
  3. Step 3: Cross multiply
    9,111.94x = 11,643.19 × 11,643.19
  4. Step 4: Simplify right side
    9,111.94x = 135,563,815.16
  5. Step 5: Solve for x
    x = 135,563,815.16/9,111.94
  6. Step 6: Final answer
    x = 14,877.61

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.