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Finding the Third Proportional to 151,161 and 329,953

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Solution

The third proportional to 151,161 and 329,953 is: 720,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,161 : 329,953 = 329,953 : x
  2. Step 2: Convert to fraction form
    151,161/329,953 = 329,953/x
  3. Step 3: Cross multiply
    151,161x = 329,953 × 329,953
  4. Step 4: Simplify right side
    151,161x = 108,868,982,209
  5. Step 5: Solve for x
    x = 108,868,982,209/151,161
  6. Step 6: Final answer
    x = 720,218.72

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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.