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Finding the Third Proportional to 9,021.38 and 19,979.16

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Solution

The third proportional to 9,021.38 and 19,979.16 is: 44,246.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021.38 : 19,979.16 = 19,979.16 : x
  2. Step 2: Convert to fraction form
    9,021.38/19,979.16 = 19,979.16/x
  3. Step 3: Cross multiply
    9,021.38x = 19,979.16 × 19,979.16
  4. Step 4: Simplify right side
    9,021.38x = 399,166,684.46
  5. Step 5: Solve for x
    x = 399,166,684.46/9,021.38
  6. Step 6: Final answer
    x = 44,246.77

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.