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Finding the Third Proportional to 128,268 and 280,674

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Solution

The third proportional to 128,268 and 280,674 is: 614,166.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,268 : 280,674 = 280,674 : x
  2. Step 2: Convert to fraction form
    128,268/280,674 = 280,674/x
  3. Step 3: Cross multiply
    128,268x = 280,674 × 280,674
  4. Step 4: Simplify right side
    128,268x = 78,777,894,276
  5. Step 5: Solve for x
    x = 78,777,894,276/128,268
  6. Step 6: Final answer
    x = 614,166.39

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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.