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Finding the Third Proportional to 120,856 and 263,220

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Solution

The third proportional to 120,856 and 263,220 is: 573,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,856 : 263,220 = 263,220 : x
  2. Step 2: Convert to fraction form
    120,856/263,220 = 263,220/x
  3. Step 3: Cross multiply
    120,856x = 263,220 × 263,220
  4. Step 4: Simplify right side
    120,856x = 69,284,768,400
  5. Step 5: Solve for x
    x = 69,284,768,400/120,856
  6. Step 6: Final answer
    x = 573,283.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.