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Finding the Third Proportional to 213,344 and 330,420

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Solution

The third proportional to 213,344 and 330,420 is: 511,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,344 : 330,420 = 330,420 : x
  2. Step 2: Convert to fraction form
    213,344/330,420 = 330,420/x
  3. Step 3: Cross multiply
    213,344x = 330,420 × 330,420
  4. Step 4: Simplify right side
    213,344x = 109,177,376,400
  5. Step 5: Solve for x
    x = 109,177,376,400/213,344
  6. Step 6: Final answer
    x = 511,743.36

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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.