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Finding the Third Proportional to 8,220.38 and 17,983.13

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Solution

The third proportional to 8,220.38 and 17,983.13 is: 39,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.38 : 17,983.13 = 17,983.13 : x
  2. Step 2: Convert to fraction form
    8,220.38/17,983.13 = 17,983.13/x
  3. Step 3: Cross multiply
    8,220.38x = 17,983.13 × 17,983.13
  4. Step 4: Simplify right side
    8,220.38x = 323,392,784.77
  5. Step 5: Solve for x
    x = 323,392,784.77/8,220.38
  6. Step 6: Final answer
    x = 39,340.39

Related Problems

Find third proportional to 4,110.19 and 8,991.56
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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.