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Finding the Third Proportional to 9,813.66 and 21,115.69

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Solution

The third proportional to 9,813.66 and 21,115.69 is: 45,433.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,813.66 : 21,115.69 = 21,115.69 : x
  2. Step 2: Convert to fraction form
    9,813.66/21,115.69 = 21,115.69/x
  3. Step 3: Cross multiply
    9,813.66x = 21,115.69 × 21,115.69
  4. Step 4: Simplify right side
    9,813.66x = 445,872,258.60
  5. Step 5: Solve for x
    x = 445,872,258.60/9,813.66
  6. Step 6: Final answer
    x = 45,433.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.