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Finding the Third Proportional to 283,340 and 427,738

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Solution

The third proportional to 283,340 and 427,738 is: 645,725.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,340 : 427,738 = 427,738 : x
  2. Step 2: Convert to fraction form
    283,340/427,738 = 427,738/x
  3. Step 3: Cross multiply
    283,340x = 427,738 × 427,738
  4. Step 4: Simplify right side
    283,340x = 182,959,796,644
  5. Step 5: Solve for x
    x = 182,959,796,644/283,340
  6. Step 6: Final answer
    x = 645,725.27

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.