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Finding the Third Proportional to 4,089.19 and 8,713.31

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Solution

The third proportional to 4,089.19 and 8,713.31 is: 18,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,089.19 : 8,713.31 = 8,713.31 : x
  2. Step 2: Convert to fraction form
    4,089.19/8,713.31 = 8,713.31/x
  3. Step 3: Cross multiply
    4,089.19x = 8,713.31 × 8,713.31
  4. Step 4: Simplify right side
    4,089.19x = 75,921,814.72
  5. Step 5: Solve for x
    x = 75,921,814.72/4,089.19
  6. Step 6: Final answer
    x = 18,566.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.