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Finding the Third Proportional to 283,320 and 421,793

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Solution

The third proportional to 283,320 and 421,793 is: 627,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,320 : 421,793 = 421,793 : x
  2. Step 2: Convert to fraction form
    283,320/421,793 = 421,793/x
  3. Step 3: Cross multiply
    283,320x = 421,793 × 421,793
  4. Step 4: Simplify right side
    283,320x = 177,909,334,849
  5. Step 5: Solve for x
    x = 177,909,334,849/283,320
  6. Step 6: Final answer
    x = 627,944.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.