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Finding the Third Proportional to 268,272 and 580,284

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Solution

The third proportional to 268,272 and 580,284 is: 1,255,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,272 : 580,284 = 580,284 : x
  2. Step 2: Convert to fraction form
    268,272/580,284 = 580,284/x
  3. Step 3: Cross multiply
    268,272x = 580,284 × 580,284
  4. Step 4: Simplify right side
    268,272x = 336,729,520,656
  5. Step 5: Solve for x
    x = 336,729,520,656/268,272
  6. Step 6: Final answer
    x = 1,255,179.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.