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Finding the Third Proportional to 361,040 and 561,296

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Solution

The third proportional to 361,040 and 561,296 is: 872,626.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,040 : 561,296 = 561,296 : x
  2. Step 2: Convert to fraction form
    361,040/561,296 = 561,296/x
  3. Step 3: Cross multiply
    361,040x = 561,296 × 561,296
  4. Step 4: Simplify right side
    361,040x = 315,053,199,616
  5. Step 5: Solve for x
    x = 315,053,199,616/361,040
  6. Step 6: Final answer
    x = 872,626.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.