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Finding the Third Proportional to 213,791 and 338,512

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Solution

The third proportional to 213,791 and 338,512 is: 535,992.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,791 : 338,512 = 338,512 : x
  2. Step 2: Convert to fraction form
    213,791/338,512 = 338,512/x
  3. Step 3: Cross multiply
    213,791x = 338,512 × 338,512
  4. Step 4: Simplify right side
    213,791x = 114,590,374,144
  5. Step 5: Solve for x
    x = 114,590,374,144/213,791
  6. Step 6: Final answer
    x = 535,992.51

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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.