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Finding the Third Proportional to 213,793 and 338,515

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Solution

The third proportional to 213,793 and 338,515 is: 535,996.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,793 : 338,515 = 338,515 : x
  2. Step 2: Convert to fraction form
    213,793/338,515 = 338,515/x
  3. Step 3: Cross multiply
    213,793x = 338,515 × 338,515
  4. Step 4: Simplify right side
    213,793x = 114,592,405,225
  5. Step 5: Solve for x
    x = 114,592,405,225/213,793
  6. Step 6: Final answer
    x = 535,996.99

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.