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Finding the Third Proportional to 4,243.38 and 9,306.88

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Solution

The third proportional to 4,243.38 and 9,306.88 is: 20,412.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,243.38 : 9,306.88 = 9,306.88 : x
  2. Step 2: Convert to fraction form
    4,243.38/9,306.88 = 9,306.88/x
  3. Step 3: Cross multiply
    4,243.38x = 9,306.88 × 9,306.88
  4. Step 4: Simplify right side
    4,243.38x = 86,617,922.27
  5. Step 5: Solve for x
    x = 86,617,922.27/4,243.38
  6. Step 6: Final answer
    x = 20,412.51

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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.