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Finding the Third Proportional to 213,544 and 327,555

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Solution

The third proportional to 213,544 and 327,555 is: 502,436.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,544 : 327,555 = 327,555 : x
  2. Step 2: Convert to fraction form
    213,544/327,555 = 327,555/x
  3. Step 3: Cross multiply
    213,544x = 327,555 × 327,555
  4. Step 4: Simplify right side
    213,544x = 107,292,278,025
  5. Step 5: Solve for x
    x = 107,292,278,025/213,544
  6. Step 6: Final answer
    x = 502,436.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.