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Finding the Third Proportional to 268,560 and 363,447

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Solution

The third proportional to 268,560 and 363,447 is: 491,859.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,560 : 363,447 = 363,447 : x
  2. Step 2: Convert to fraction form
    268,560/363,447 = 363,447/x
  3. Step 3: Cross multiply
    268,560x = 363,447 × 363,447
  4. Step 4: Simplify right side
    268,560x = 132,093,721,809
  5. Step 5: Solve for x
    x = 132,093,721,809/268,560
  6. Step 6: Final answer
    x = 491,859.26

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.