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Finding the Third Proportional to 213,338 and 330,411

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Solution

The third proportional to 213,338 and 330,411 is: 511,729.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,338 : 330,411 = 330,411 : x
  2. Step 2: Convert to fraction form
    213,338/330,411 = 330,411/x
  3. Step 3: Cross multiply
    213,338x = 330,411 × 330,411
  4. Step 4: Simplify right side
    213,338x = 109,171,428,921
  5. Step 5: Solve for x
    x = 109,171,428,921/213,338
  6. Step 6: Final answer
    x = 511,729.88

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.