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Finding the Third Proportional to 221,440.50 and 480,393

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Solution

The third proportional to 221,440.50 and 480,393 is: 1,042,164.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,440.50 : 480,393 = 480,393 : x
  2. Step 2: Convert to fraction form
    221,440.50/480,393 = 480,393/x
  3. Step 3: Cross multiply
    221,440.50x = 480,393 × 480,393
  4. Step 4: Simplify right side
    221,440.50x = 230,777,434,449
  5. Step 5: Solve for x
    x = 230,777,434,449/221,440.50
  6. Step 6: Final answer
    x = 1,042,164.53

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.