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Finding the Third Proportional to 8,478.42 and 18,415.97

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Solution

The third proportional to 8,478.42 and 18,415.97 is: 40,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.42 : 18,415.97 = 18,415.97 : x
  2. Step 2: Convert to fraction form
    8,478.42/18,415.97 = 18,415.97/x
  3. Step 3: Cross multiply
    8,478.42x = 18,415.97 × 18,415.97
  4. Step 4: Simplify right side
    8,478.42x = 339,147,905.00
  5. Step 5: Solve for x
    x = 339,147,905.00/8,478.42
  6. Step 6: Final answer
    x = 40,001.30

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.