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Finding the Third Proportional to 151,953 and 330,663

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Solution

The third proportional to 151,953 and 330,663 is: 719,551.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,953 : 330,663 = 330,663 : x
  2. Step 2: Convert to fraction form
    151,953/330,663 = 330,663/x
  3. Step 3: Cross multiply
    151,953x = 330,663 × 330,663
  4. Step 4: Simplify right side
    151,953x = 109,338,019,569
  5. Step 5: Solve for x
    x = 109,338,019,569/151,953
  6. Step 6: Final answer
    x = 719,551.57

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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.