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Finding the Third Proportional to 9,115.14 and 19,786.36

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Solution

The third proportional to 9,115.14 and 19,786.36 is: 42,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,115.14 : 19,786.36 = 19,786.36 : x
  2. Step 2: Convert to fraction form
    9,115.14/19,786.36 = 19,786.36/x
  3. Step 3: Cross multiply
    9,115.14x = 19,786.36 × 19,786.36
  4. Step 4: Simplify right side
    9,115.14x = 391,500,017.32
  5. Step 5: Solve for x
    x = 391,500,017.32/9,115.14
  6. Step 6: Final answer
    x = 42,950.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.