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Finding the Third Proportional to 211,338 and 313,512

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Solution

The third proportional to 211,338 and 313,512 is: 465,083.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,338 : 313,512 = 313,512 : x
  2. Step 2: Convert to fraction form
    211,338/313,512 = 313,512/x
  3. Step 3: Cross multiply
    211,338x = 313,512 × 313,512
  4. Step 4: Simplify right side
    211,338x = 98,289,774,144
  5. Step 5: Solve for x
    x = 98,289,774,144/211,338
  6. Step 6: Final answer
    x = 465,083.30

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.