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Finding the Third Proportional to 280,608 and 614,838

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Solution

The third proportional to 280,608 and 614,838 is: 1,347,166.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,608 : 614,838 = 614,838 : x
  2. Step 2: Convert to fraction form
    280,608/614,838 = 614,838/x
  3. Step 3: Cross multiply
    280,608x = 614,838 × 614,838
  4. Step 4: Simplify right side
    280,608x = 378,025,766,244
  5. Step 5: Solve for x
    x = 378,025,766,244/280,608
  6. Step 6: Final answer
    x = 1,347,166.75

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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.