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Finding the Third Proportional to 8,356.81 and 18,353.66

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Solution

The third proportional to 8,356.81 and 18,353.66 is: 40,309.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,356.81 : 18,353.66 = 18,353.66 : x
  2. Step 2: Convert to fraction form
    8,356.81/18,353.66 = 18,353.66/x
  3. Step 3: Cross multiply
    8,356.81x = 18,353.66 × 18,353.66
  4. Step 4: Simplify right side
    8,356.81x = 336,856,697.74
  5. Step 5: Solve for x
    x = 336,856,697.74/8,356.81
  6. Step 6: Final answer
    x = 40,309.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.