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Finding the Third Proportional to 8,440.88 and 18,383.63

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Solution

The third proportional to 8,440.88 and 18,383.63 is: 40,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,440.88 : 18,383.63 = 18,383.63 : x
  2. Step 2: Convert to fraction form
    8,440.88/18,383.63 = 18,383.63/x
  3. Step 3: Cross multiply
    8,440.88x = 18,383.63 × 18,383.63
  4. Step 4: Simplify right side
    8,440.88x = 337,957,668.14
  5. Step 5: Solve for x
    x = 337,957,668.14/8,440.88
  6. Step 6: Final answer
    x = 40,038.23

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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.