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Finding the Third Proportional to 8,669.25 and 18,722.25

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Solution

The third proportional to 8,669.25 and 18,722.25 is: 40,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.25 : 18,722.25 = 18,722.25 : x
  2. Step 2: Convert to fraction form
    8,669.25/18,722.25 = 18,722.25/x
  3. Step 3: Cross multiply
    8,669.25x = 18,722.25 × 18,722.25
  4. Step 4: Simplify right side
    8,669.25x = 350,522,645.06
  5. Step 5: Solve for x
    x = 350,522,645.06/8,669.25
  6. Step 6: Final answer
    x = 40,432.87

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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.