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Finding the Third Proportional to 9,760.50 and 15,519.38

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Solution

The third proportional to 9,760.50 and 15,519.38 is: 24,676.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.50 : 15,519.38 = 15,519.38 : x
  2. Step 2: Convert to fraction form
    9,760.50/15,519.38 = 15,519.38/x
  3. Step 3: Cross multiply
    9,760.50x = 15,519.38 × 15,519.38
  4. Step 4: Simplify right side
    9,760.50x = 240,851,000.39
  5. Step 5: Solve for x
    x = 240,851,000.39/9,760.50
  6. Step 6: Final answer
    x = 24,676.09

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.