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Finding the Third Proportional to 8,211.70 and 18,013.08

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Solution

The third proportional to 8,211.70 and 18,013.08 is: 39,513.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,211.70 : 18,013.08 = 18,013.08 : x
  2. Step 2: Convert to fraction form
    8,211.70/18,013.08 = 18,013.08/x
  3. Step 3: Cross multiply
    8,211.70x = 18,013.08 × 18,013.08
  4. Step 4: Simplify right side
    8,211.70x = 324,470,983.54
  5. Step 5: Solve for x
    x = 324,470,983.54/8,211.70
  6. Step 6: Final answer
    x = 39,513.24

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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.