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Finding the Third Proportional to 151,277 and 330,253

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Solution

The third proportional to 151,277 and 330,253 is: 720,975.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,277 : 330,253 = 330,253 : x
  2. Step 2: Convert to fraction form
    151,277/330,253 = 330,253/x
  3. Step 3: Cross multiply
    151,277x = 330,253 × 330,253
  4. Step 4: Simplify right side
    151,277x = 109,067,044,009
  5. Step 5: Solve for x
    x = 109,067,044,009/151,277
  6. Step 6: Final answer
    x = 720,975.72

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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.