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Finding the Third Proportional to 11,819.25 and 15,770.53

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Solution

The third proportional to 11,819.25 and 15,770.53 is: 21,042.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,819.25 : 15,770.53 = 15,770.53 : x
  2. Step 2: Convert to fraction form
    11,819.25/15,770.53 = 15,770.53/x
  3. Step 3: Cross multiply
    11,819.25x = 15,770.53 × 15,770.53
  4. Step 4: Simplify right side
    11,819.25x = 248,709,655.91
  5. Step 5: Solve for x
    x = 248,709,655.91/11,819.25
  6. Step 6: Final answer
    x = 21,042.76

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.