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Finding the Third Proportional to 7,428.38 and 15,859.13

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Solution

The third proportional to 7,428.38 and 15,859.13 is: 33,858.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,428.38 : 15,859.13 = 15,859.13 : x
  2. Step 2: Convert to fraction form
    7,428.38/15,859.13 = 15,859.13/x
  3. Step 3: Cross multiply
    7,428.38x = 15,859.13 × 15,859.13
  4. Step 4: Simplify right side
    7,428.38x = 251,511,845.77
  5. Step 5: Solve for x
    x = 251,511,845.77/7,428.38
  6. Step 6: Final answer
    x = 33,858.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.