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Finding the Third Proportional to 4,017.09 and 8,664.47

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Solution

The third proportional to 4,017.09 and 8,664.47 is: 18,688.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,017.09 : 8,664.47 = 8,664.47 : x
  2. Step 2: Convert to fraction form
    4,017.09/8,664.47 = 8,664.47/x
  3. Step 3: Cross multiply
    4,017.09x = 8,664.47 × 8,664.47
  4. Step 4: Simplify right side
    4,017.09x = 75,073,018.72
  5. Step 5: Solve for x
    x = 75,073,018.72/4,017.09
  6. Step 6: Final answer
    x = 18,688.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.