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Finding the Third Proportional to 253,492.88 and 394,788.66

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Solution

The third proportional to 253,492.88 and 394,788.66 is: 614,842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,492.88 : 394,788.66 = 394,788.66 : x
  2. Step 2: Convert to fraction form
    253,492.88/394,788.66 = 394,788.66/x
  3. Step 3: Cross multiply
    253,492.88x = 394,788.66 × 394,788.66
  4. Step 4: Simplify right side
    253,492.88x = 155,858,083,103.68
  5. Step 5: Solve for x
    x = 155,858,083,103.68/253,492.88
  6. Step 6: Final answer
    x = 614,842.07

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.