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Finding the Third Proportional to 211,456 and 327,808

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Solution

The third proportional to 211,456 and 327,808 is: 508,181.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,456 : 327,808 = 327,808 : x
  2. Step 2: Convert to fraction form
    211,456/327,808 = 327,808/x
  3. Step 3: Cross multiply
    211,456x = 327,808 × 327,808
  4. Step 4: Simplify right side
    211,456x = 107,458,084,864
  5. Step 5: Solve for x
    x = 107,458,084,864/211,456
  6. Step 6: Final answer
    x = 508,181.77

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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.