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Finding the Third Proportional to 270,510 and 422,141

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Solution

The third proportional to 270,510 and 422,141 is: 658,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,510 : 422,141 = 422,141 : x
  2. Step 2: Convert to fraction form
    270,510/422,141 = 422,141/x
  3. Step 3: Cross multiply
    270,510x = 422,141 × 422,141
  4. Step 4: Simplify right side
    270,510x = 178,203,023,881
  5. Step 5: Solve for x
    x = 178,203,023,881/270,510
  6. Step 6: Final answer
    x = 658,766.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.