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Finding the Third Proportional to 7,231.78 and 15,384.09

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Solution

The third proportional to 7,231.78 and 15,384.09 is: 32,726.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.78 : 15,384.09 = 15,384.09 : x
  2. Step 2: Convert to fraction form
    7,231.78/15,384.09 = 15,384.09/x
  3. Step 3: Cross multiply
    7,231.78x = 15,384.09 × 15,384.09
  4. Step 4: Simplify right side
    7,231.78x = 236,670,340.51
  5. Step 5: Solve for x
    x = 236,670,340.51/7,231.78
  6. Step 6: Final answer
    x = 32,726.42

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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.