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Finding the Third Proportional to 392,146 and 552,218

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Solution

The third proportional to 392,146 and 552,218 is: 777,630.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,146 : 552,218 = 552,218 : x
  2. Step 2: Convert to fraction form
    392,146/552,218 = 552,218/x
  3. Step 3: Cross multiply
    392,146x = 552,218 × 552,218
  4. Step 4: Simplify right side
    392,146x = 304,944,719,524
  5. Step 5: Solve for x
    x = 304,944,719,524/392,146
  6. Step 6: Final answer
    x = 777,630.58

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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.