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Finding the Third Proportional to 151,143 and 329,917

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Solution

The third proportional to 151,143 and 329,917 is: 720,147.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,143 : 329,917 = 329,917 : x
  2. Step 2: Convert to fraction form
    151,143/329,917 = 329,917/x
  3. Step 3: Cross multiply
    151,143x = 329,917 × 329,917
  4. Step 4: Simplify right side
    151,143x = 108,845,226,889
  5. Step 5: Solve for x
    x = 108,845,226,889/151,143
  6. Step 6: Final answer
    x = 720,147.32

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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.