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Finding the Third Proportional to 263,928 and 408,492

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Solution

The third proportional to 263,928 and 408,492 is: 632,239.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,928 : 408,492 = 408,492 : x
  2. Step 2: Convert to fraction form
    263,928/408,492 = 408,492/x
  3. Step 3: Cross multiply
    263,928x = 408,492 × 408,492
  4. Step 4: Simplify right side
    263,928x = 166,865,714,064
  5. Step 5: Solve for x
    x = 166,865,714,064/263,928
  6. Step 6: Final answer
    x = 632,239.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.