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Finding the Third Proportional to 224,336 and 479,800

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Solution

The third proportional to 224,336 and 479,800 is: 1,026,175.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,336 : 479,800 = 479,800 : x
  2. Step 2: Convert to fraction form
    224,336/479,800 = 479,800/x
  3. Step 3: Cross multiply
    224,336x = 479,800 × 479,800
  4. Step 4: Simplify right side
    224,336x = 230,208,040,000
  5. Step 5: Solve for x
    x = 230,208,040,000/224,336
  6. Step 6: Final answer
    x = 1,026,175.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.