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Finding the Third Proportional to 222,756 and 480,288

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Solution

The third proportional to 222,756 and 480,288 is: 1,035,557.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,756 : 480,288 = 480,288 : x
  2. Step 2: Convert to fraction form
    222,756/480,288 = 480,288/x
  3. Step 3: Cross multiply
    222,756x = 480,288 × 480,288
  4. Step 4: Simplify right side
    222,756x = 230,676,562,944
  5. Step 5: Solve for x
    x = 230,676,562,944/222,756
  6. Step 6: Final answer
    x = 1,035,557.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.