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Finding the Third Proportional to 392,141.25 and 552,212.44

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Solution

The third proportional to 392,141.25 and 552,212.44 is: 777,624.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,141.25 : 552,212.44 = 552,212.44 : x
  2. Step 2: Convert to fraction form
    392,141.25/552,212.44 = 552,212.44/x
  3. Step 3: Cross multiply
    392,141.25x = 552,212.44 × 552,212.44
  4. Step 4: Simplify right side
    392,141.25x = 304,938,576,129.69
  5. Step 5: Solve for x
    x = 304,938,576,129.69/392,141.25
  6. Step 6: Final answer
    x = 777,624.33

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.