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Finding the Third Proportional to 280,116 and 614,652

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Solution

The third proportional to 280,116 and 614,652 is: 1,348,716.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,116 : 614,652 = 614,652 : x
  2. Step 2: Convert to fraction form
    280,116/614,652 = 614,652/x
  3. Step 3: Cross multiply
    280,116x = 614,652 × 614,652
  4. Step 4: Simplify right side
    280,116x = 377,797,081,104
  5. Step 5: Solve for x
    x = 377,797,081,104/280,116
  6. Step 6: Final answer
    x = 1,348,716.54

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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.