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Finding the Third Proportional to 225,256 and 400,432

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Solution

The third proportional to 225,256 and 400,432 is: 711,838.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,256 : 400,432 = 400,432 : x
  2. Step 2: Convert to fraction form
    225,256/400,432 = 400,432/x
  3. Step 3: Cross multiply
    225,256x = 400,432 × 400,432
  4. Step 4: Simplify right side
    225,256x = 160,345,786,624
  5. Step 5: Solve for x
    x = 160,345,786,624/225,256
  6. Step 6: Final answer
    x = 711,838.03

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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.