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Finding the Third Proportional to 255,921 and 550,719

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Solution

The third proportional to 255,921 and 550,719 is: 1,185,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,921 : 550,719 = 550,719 : x
  2. Step 2: Convert to fraction form
    255,921/550,719 = 550,719/x
  3. Step 3: Cross multiply
    255,921x = 550,719 × 550,719
  4. Step 4: Simplify right side
    255,921x = 303,291,416,961
  5. Step 5: Solve for x
    x = 303,291,416,961/255,921
  6. Step 6: Final answer
    x = 1,185,097.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.