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Finding the Third Proportional to 151,121 and 330,898

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Solution

The third proportional to 151,121 and 330,898 is: 724,541.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,121 : 330,898 = 330,898 : x
  2. Step 2: Convert to fraction form
    151,121/330,898 = 330,898/x
  3. Step 3: Cross multiply
    151,121x = 330,898 × 330,898
  4. Step 4: Simplify right side
    151,121x = 109,493,486,404
  5. Step 5: Solve for x
    x = 109,493,486,404/151,121
  6. Step 6: Final answer
    x = 724,541.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.