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Finding the Third Proportional to 392,219 and 552,318

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Solution

The third proportional to 392,219 and 552,318 is: 777,767.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,219 : 552,318 = 552,318 : x
  2. Step 2: Convert to fraction form
    392,219/552,318 = 552,318/x
  3. Step 3: Cross multiply
    392,219x = 552,318 × 552,318
  4. Step 4: Simplify right side
    392,219x = 305,055,173,124
  5. Step 5: Solve for x
    x = 305,055,173,124/392,219
  6. Step 6: Final answer
    x = 777,767.45

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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.