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Finding the Third Proportional to 211,717.50 and 329,240.25

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Solution

The third proportional to 211,717.50 and 329,240.25 is: 511,998.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,717.50 : 329,240.25 = 329,240.25 : x
  2. Step 2: Convert to fraction form
    211,717.50/329,240.25 = 329,240.25/x
  3. Step 3: Cross multiply
    211,717.50x = 329,240.25 × 329,240.25
  4. Step 4: Simplify right side
    211,717.50x = 108,399,142,220.06
  5. Step 5: Solve for x
    x = 108,399,142,220.06/211,717.50
  6. Step 6: Final answer
    x = 511,998.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.