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Finding the Third Proportional to 151,980 and 329,718

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Solution

The third proportional to 151,980 and 329,718 is: 715,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,980 : 329,718 = 329,718 : x
  2. Step 2: Convert to fraction form
    151,980/329,718 = 329,718/x
  3. Step 3: Cross multiply
    151,980x = 329,718 × 329,718
  4. Step 4: Simplify right side
    151,980x = 108,713,959,524
  5. Step 5: Solve for x
    x = 108,713,959,524/151,980
  6. Step 6: Final answer
    x = 715,317.54

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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.