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Finding the Third Proportional to 11,859.78 and 18,356.70

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Solution

The third proportional to 11,859.78 and 18,356.70 is: 28,412.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,859.78 : 18,356.70 = 18,356.70 : x
  2. Step 2: Convert to fraction form
    11,859.78/18,356.70 = 18,356.70/x
  3. Step 3: Cross multiply
    11,859.78x = 18,356.70 × 18,356.70
  4. Step 4: Simplify right side
    11,859.78x = 336,968,585.47
  5. Step 5: Solve for x
    x = 336,968,585.47/11,859.78
  6. Step 6: Final answer
    x = 28,412.73

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.