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Finding the Third Proportional to 8,402.91 and 18,287.44

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Solution

The third proportional to 8,402.91 and 18,287.44 is: 39,799.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,402.91 : 18,287.44 = 18,287.44 : x
  2. Step 2: Convert to fraction form
    8,402.91/18,287.44 = 18,287.44/x
  3. Step 3: Cross multiply
    8,402.91x = 18,287.44 × 18,287.44
  4. Step 4: Simplify right side
    8,402.91x = 334,430,370.32
  5. Step 5: Solve for x
    x = 334,430,370.32/8,402.91
  6. Step 6: Final answer
    x = 39,799.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.