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Finding the Third Proportional to 151,426 and 329,366

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Solution

The third proportional to 151,426 and 329,366 is: 716,402.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,426 : 329,366 = 329,366 : x
  2. Step 2: Convert to fraction form
    151,426/329,366 = 329,366/x
  3. Step 3: Cross multiply
    151,426x = 329,366 × 329,366
  4. Step 4: Simplify right side
    151,426x = 108,481,961,956
  5. Step 5: Solve for x
    x = 108,481,961,956/151,426
  6. Step 6: Final answer
    x = 716,402.48

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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.