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Finding the Third Proportional to 8,270.63 and 18,181.13

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Solution

The third proportional to 8,270.63 and 18,181.13 is: 39,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,270.63 : 18,181.13 = 18,181.13 : x
  2. Step 2: Convert to fraction form
    8,270.63/18,181.13 = 18,181.13/x
  3. Step 3: Cross multiply
    8,270.63x = 18,181.13 × 18,181.13
  4. Step 4: Simplify right side
    8,270.63x = 330,553,306.27
  5. Step 5: Solve for x
    x = 330,553,306.27/8,270.63
  6. Step 6: Final answer
    x = 39,967.15

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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.