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Finding the Third Proportional to 12,286.69 and 26,509.78

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Solution

The third proportional to 12,286.69 and 26,509.78 is: 57,197.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,286.69 : 26,509.78 = 26,509.78 : x
  2. Step 2: Convert to fraction form
    12,286.69/26,509.78 = 26,509.78/x
  3. Step 3: Cross multiply
    12,286.69x = 26,509.78 × 26,509.78
  4. Step 4: Simplify right side
    12,286.69x = 702,768,501.92
  5. Step 5: Solve for x
    x = 702,768,501.92/12,286.69
  6. Step 6: Final answer
    x = 57,197.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.