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Finding the Third Proportional to 151,275 and 330,249

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Solution

The third proportional to 151,275 and 330,249 is: 720,967.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,275 : 330,249 = 330,249 : x
  2. Step 2: Convert to fraction form
    151,275/330,249 = 330,249/x
  3. Step 3: Cross multiply
    151,275x = 330,249 × 330,249
  4. Step 4: Simplify right side
    151,275x = 109,064,402,001
  5. Step 5: Solve for x
    x = 109,064,402,001/151,275
  6. Step 6: Final answer
    x = 720,967.79

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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.