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Finding the Third Proportional to 4,243.22 and 9,305.72

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Solution

The third proportional to 4,243.22 and 9,305.72 is: 20,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.22 : 9,305.72 = 9,305.72 : x
  2. Step 2: Convert to fraction form
    4,243.22/9,305.72 = 9,305.72/x
  3. Step 3: Cross multiply
    4,243.22x = 9,305.72 × 9,305.72
  4. Step 4: Simplify right side
    4,243.22x = 86,596,401.45
  5. Step 5: Solve for x
    x = 86,596,401.45/4,243.22
  6. Step 6: Final answer
    x = 20,408.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.