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Finding the Third Proportional to 224,379 and 480,726

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Solution

The third proportional to 224,379 and 480,726 is: 1,029,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,379 : 480,726 = 480,726 : x
  2. Step 2: Convert to fraction form
    224,379/480,726 = 480,726/x
  3. Step 3: Cross multiply
    224,379x = 480,726 × 480,726
  4. Step 4: Simplify right side
    224,379x = 231,097,487,076
  5. Step 5: Solve for x
    x = 231,097,487,076/224,379
  6. Step 6: Final answer
    x = 1,029,942.58

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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.