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Finding the Third Proportional to 255,809 and 383,714

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Solution

The third proportional to 255,809 and 383,714 is: 575,571.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,809 : 383,714 = 383,714 : x
  2. Step 2: Convert to fraction form
    255,809/383,714 = 383,714/x
  3. Step 3: Cross multiply
    255,809x = 383,714 × 383,714
  4. Step 4: Simplify right side
    255,809x = 147,236,433,796
  5. Step 5: Solve for x
    x = 147,236,433,796/255,809
  6. Step 6: Final answer
    x = 575,571.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.