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Finding the Third Proportional to 392,159 and 552,234

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Solution

The third proportional to 392,159 and 552,234 is: 777,649.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,159 : 552,234 = 552,234 : x
  2. Step 2: Convert to fraction form
    392,159/552,234 = 552,234/x
  3. Step 3: Cross multiply
    392,159x = 552,234 × 552,234
  4. Step 4: Simplify right side
    392,159x = 304,962,390,756
  5. Step 5: Solve for x
    x = 304,962,390,756/392,159
  6. Step 6: Final answer
    x = 777,649.86

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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.