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Finding the Third Proportional to 366,945 and 561,357

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Solution

The third proportional to 366,945 and 561,357 is: 858,770.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,945 : 561,357 = 561,357 : x
  2. Step 2: Convert to fraction form
    366,945/561,357 = 561,357/x
  3. Step 3: Cross multiply
    366,945x = 561,357 × 561,357
  4. Step 4: Simplify right side
    366,945x = 315,121,681,449
  5. Step 5: Solve for x
    x = 315,121,681,449/366,945
  6. Step 6: Final answer
    x = 858,770.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.