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Finding the Third Proportional to 4,009.50 and 8,725.22

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Solution

The third proportional to 4,009.50 and 8,725.22 is: 18,987.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.50 : 8,725.22 = 8,725.22 : x
  2. Step 2: Convert to fraction form
    4,009.50/8,725.22 = 8,725.22/x
  3. Step 3: Cross multiply
    4,009.50x = 8,725.22 × 8,725.22
  4. Step 4: Simplify right side
    4,009.50x = 76,129,442.24
  5. Step 5: Solve for x
    x = 76,129,442.24/4,009.50
  6. Step 6: Final answer
    x = 18,987.27

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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.