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Finding the Third Proportional to 15,384.94 and 21,999.09

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Solution

The third proportional to 15,384.94 and 21,999.09 is: 31,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,384.94 : 21,999.09 = 21,999.09 : x
  2. Step 2: Convert to fraction form
    15,384.94/21,999.09 = 21,999.09/x
  3. Step 3: Cross multiply
    15,384.94x = 21,999.09 × 21,999.09
  4. Step 4: Simplify right side
    15,384.94x = 483,960,125.82
  5. Step 5: Solve for x
    x = 483,960,125.82/15,384.94
  6. Step 6: Final answer
    x = 31,456.75

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.