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Finding the Third Proportional to 5,057.53 and 10,315.78

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Solution

The third proportional to 5,057.53 and 10,315.78 is: 21,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.53 : 10,315.78 = 10,315.78 : x
  2. Step 2: Convert to fraction form
    5,057.53/10,315.78 = 10,315.78/x
  3. Step 3: Cross multiply
    5,057.53x = 10,315.78 × 10,315.78
  4. Step 4: Simplify right side
    5,057.53x = 106,415,342.80
  5. Step 5: Solve for x
    x = 106,415,342.80/5,057.53
  6. Step 6: Final answer
    x = 21,040.97

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.