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Finding the Third Proportional to 255,918 and 550,716

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Solution

The third proportional to 255,918 and 550,716 is: 1,185,098.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,918 : 550,716 = 550,716 : x
  2. Step 2: Convert to fraction form
    255,918/550,716 = 550,716/x
  3. Step 3: Cross multiply
    255,918x = 550,716 × 550,716
  4. Step 4: Simplify right side
    255,918x = 303,288,112,656
  5. Step 5: Solve for x
    x = 303,288,112,656/255,918
  6. Step 6: Final answer
    x = 1,185,098.79

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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.