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Finding the Third Proportional to 165,489 and 255,723

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Solution

The third proportional to 165,489 and 255,723 is: 395,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,489 : 255,723 = 255,723 : x
  2. Step 2: Convert to fraction form
    165,489/255,723 = 255,723/x
  3. Step 3: Cross multiply
    165,489x = 255,723 × 255,723
  4. Step 4: Simplify right side
    165,489x = 65,394,252,729
  5. Step 5: Solve for x
    x = 65,394,252,729/165,489
  6. Step 6: Final answer
    x = 395,157.70

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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.