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Finding the Third Proportional to 222,750 and 480,276

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Solution

The third proportional to 222,750 and 480,276 is: 1,035,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,750 : 480,276 = 480,276 : x
  2. Step 2: Convert to fraction form
    222,750/480,276 = 480,276/x
  3. Step 3: Cross multiply
    222,750x = 480,276 × 480,276
  4. Step 4: Simplify right side
    222,750x = 230,665,036,176
  5. Step 5: Solve for x
    x = 230,665,036,176/222,750
  6. Step 6: Final answer
    x = 1,035,533.27

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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.