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Finding the Third Proportional to 363,867.75 and 521,043.75

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Solution

The third proportional to 363,867.75 and 521,043.75 is: 746,113.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,867.75 : 521,043.75 = 521,043.75 : x
  2. Step 2: Convert to fraction form
    363,867.75/521,043.75 = 521,043.75/x
  3. Step 3: Cross multiply
    363,867.75x = 521,043.75 × 521,043.75
  4. Step 4: Simplify right side
    363,867.75x = 271,486,589,414.06
  5. Step 5: Solve for x
    x = 271,486,589,414.06/363,867.75
  6. Step 6: Final answer
    x = 746,113.36

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.