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Finding the Third Proportional to 280,128 and 614,676

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Solution

The third proportional to 280,128 and 614,676 is: 1,348,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,128 : 614,676 = 614,676 : x
  2. Step 2: Convert to fraction form
    280,128/614,676 = 614,676/x
  3. Step 3: Cross multiply
    280,128x = 614,676 × 614,676
  4. Step 4: Simplify right side
    280,128x = 377,826,584,976
  5. Step 5: Solve for x
    x = 377,826,584,976/280,128
  6. Step 6: Final answer
    x = 1,348,764.08

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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.