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Finding the Third Proportional to 151,808 and 329,866

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Solution

The third proportional to 151,808 and 329,866 is: 716,771.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,808 : 329,866 = 329,866 : x
  2. Step 2: Convert to fraction form
    151,808/329,866 = 329,866/x
  3. Step 3: Cross multiply
    151,808x = 329,866 × 329,866
  4. Step 4: Simplify right side
    151,808x = 108,811,577,956
  5. Step 5: Solve for x
    x = 108,811,577,956/151,808
  6. Step 6: Final answer
    x = 716,771.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.