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Finding the Third Proportional to 280,464 and 420,280

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Solution

The third proportional to 280,464 and 420,280 is: 629,796.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,464 : 420,280 = 420,280 : x
  2. Step 2: Convert to fraction form
    280,464/420,280 = 420,280/x
  3. Step 3: Cross multiply
    280,464x = 420,280 × 420,280
  4. Step 4: Simplify right side
    280,464x = 176,635,278,400
  5. Step 5: Solve for x
    x = 176,635,278,400/280,464
  6. Step 6: Final answer
    x = 629,796.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.