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Finding the Third Proportional to 280,424 and 423,980

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Solution

The third proportional to 280,424 and 423,980 is: 641,025.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,424 : 423,980 = 423,980 : x
  2. Step 2: Convert to fraction form
    280,424/423,980 = 423,980/x
  3. Step 3: Cross multiply
    280,424x = 423,980 × 423,980
  4. Step 4: Simplify right side
    280,424x = 179,759,040,400
  5. Step 5: Solve for x
    x = 179,759,040,400/280,424
  6. Step 6: Final answer
    x = 641,025.88

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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.