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Finding the Third Proportional to 280,118 and 614,656

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Solution

The third proportional to 280,118 and 614,656 is: 1,348,724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,118 : 614,656 = 614,656 : x
  2. Step 2: Convert to fraction form
    280,118/614,656 = 614,656/x
  3. Step 3: Cross multiply
    280,118x = 614,656 × 614,656
  4. Step 4: Simplify right side
    280,118x = 377,801,998,336
  5. Step 5: Solve for x
    x = 377,801,998,336/280,118
  6. Step 6: Final answer
    x = 1,348,724.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.