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Finding the Third Proportional to 9,125 and 19,979

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Solution

The third proportional to 9,125 and 19,979 is: 43,743.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125 : 19,979 = 19,979 : x
  2. Step 2: Convert to fraction form
    9,125/19,979 = 19,979/x
  3. Step 3: Cross multiply
    9,125x = 19,979 × 19,979
  4. Step 4: Simplify right side
    9,125x = 399,160,441
  5. Step 5: Solve for x
    x = 399,160,441/9,125
  6. Step 6: Final answer
    x = 43,743.61

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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.