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Finding the Third Proportional to 255,794 and 426,297.50

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Solution

The third proportional to 255,794 and 426,297.50 is: 710,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,794 : 426,297.50 = 426,297.50 : x
  2. Step 2: Convert to fraction form
    255,794/426,297.50 = 426,297.50/x
  3. Step 3: Cross multiply
    255,794x = 426,297.50 × 426,297.50
  4. Step 4: Simplify right side
    255,794x = 181,729,558,506.25
  5. Step 5: Solve for x
    x = 181,729,558,506.25/255,794
  6. Step 6: Final answer
    x = 710,452.78

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.