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Finding the Third Proportional to 151,381 and 329,357

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Solution

The third proportional to 151,381 and 329,357 is: 716,576.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,381 : 329,357 = 329,357 : x
  2. Step 2: Convert to fraction form
    151,381/329,357 = 329,357/x
  3. Step 3: Cross multiply
    151,381x = 329,357 × 329,357
  4. Step 4: Simplify right side
    151,381x = 108,476,033,449
  5. Step 5: Solve for x
    x = 108,476,033,449/151,381
  6. Step 6: Final answer
    x = 716,576.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.