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Finding the Third Proportional to 8,223.40 and 18,011.74

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Solution

The third proportional to 8,223.40 and 18,011.74 is: 39,451.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.40 : 18,011.74 = 18,011.74 : x
  2. Step 2: Convert to fraction form
    8,223.40/18,011.74 = 18,011.74/x
  3. Step 3: Cross multiply
    8,223.40x = 18,011.74 × 18,011.74
  4. Step 4: Simplify right side
    8,223.40x = 324,422,856.63
  5. Step 5: Solve for x
    x = 324,422,856.63/8,223.40
  6. Step 6: Final answer
    x = 39,451.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.