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Finding the Third Proportional to 11,107.13 and 14,419.69

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Solution

The third proportional to 11,107.13 and 14,419.69 is: 18,720.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.13 : 14,419.69 = 14,419.69 : x
  2. Step 2: Convert to fraction form
    11,107.13/14,419.69 = 14,419.69/x
  3. Step 3: Cross multiply
    11,107.13x = 14,419.69 × 14,419.69
  4. Step 4: Simplify right side
    11,107.13x = 207,927,387.60
  5. Step 5: Solve for x
    x = 207,927,387.60/11,107.13
  6. Step 6: Final answer
    x = 18,720.18

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.