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Finding the Third Proportional to 305,344 and 421,920

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Solution

The third proportional to 305,344 and 421,920 is: 583,003.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344 : 421,920 = 421,920 : x
  2. Step 2: Convert to fraction form
    305,344/421,920 = 421,920/x
  3. Step 3: Cross multiply
    305,344x = 421,920 × 421,920
  4. Step 4: Simplify right side
    305,344x = 178,016,486,400
  5. Step 5: Solve for x
    x = 178,016,486,400/305,344
  6. Step 6: Final answer
    x = 583,003.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.