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Finding the Third Proportional to 367,378 and 561,605

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Solution

The third proportional to 367,378 and 561,605 is: 858,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,378 : 561,605 = 561,605 : x
  2. Step 2: Convert to fraction form
    367,378/561,605 = 561,605/x
  3. Step 3: Cross multiply
    367,378x = 561,605 × 561,605
  4. Step 4: Simplify right side
    367,378x = 315,400,176,025
  5. Step 5: Solve for x
    x = 315,400,176,025/367,378
  6. Step 6: Final answer
    x = 858,516.78

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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.