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Finding the Third Proportional to 225,266 and 400,444

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Solution

The third proportional to 225,266 and 400,444 is: 711,849.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,266 : 400,444 = 400,444 : x
  2. Step 2: Convert to fraction form
    225,266/400,444 = 400,444/x
  3. Step 3: Cross multiply
    225,266x = 400,444 × 400,444
  4. Step 4: Simplify right side
    225,266x = 160,355,397,136
  5. Step 5: Solve for x
    x = 160,355,397,136/225,266
  6. Step 6: Final answer
    x = 711,849.09

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.