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Finding the Third Proportional to 120,864 and 221,856

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Solution

The third proportional to 120,864 and 221,856 is: 407,235.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,864 : 221,856 = 221,856 : x
  2. Step 2: Convert to fraction form
    120,864/221,856 = 221,856/x
  3. Step 3: Cross multiply
    120,864x = 221,856 × 221,856
  4. Step 4: Simplify right side
    120,864x = 49,220,084,736
  5. Step 5: Solve for x
    x = 49,220,084,736/120,864
  6. Step 6: Final answer
    x = 407,235.28

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.