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Finding the Third Proportional to 9,999.38 and 21,456.38

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Solution

The third proportional to 9,999.38 and 21,456.38 is: 46,040.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,999.38 : 21,456.38 = 21,456.38 : x
  2. Step 2: Convert to fraction form
    9,999.38/21,456.38 = 21,456.38/x
  3. Step 3: Cross multiply
    9,999.38x = 21,456.38 × 21,456.38
  4. Step 4: Simplify right side
    9,999.38x = 460,376,028.14
  5. Step 5: Solve for x
    x = 460,376,028.14/9,999.38
  6. Step 6: Final answer
    x = 46,040.48

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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.