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Finding the Third Proportional to 9,415.50 and 20,896.13

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Solution

The third proportional to 9,415.50 and 20,896.13 is: 46,375.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.50 : 20,896.13 = 20,896.13 : x
  2. Step 2: Convert to fraction form
    9,415.50/20,896.13 = 20,896.13/x
  3. Step 3: Cross multiply
    9,415.50x = 20,896.13 × 20,896.13
  4. Step 4: Simplify right side
    9,415.50x = 436,648,040.02
  5. Step 5: Solve for x
    x = 436,648,040.02/9,415.50
  6. Step 6: Final answer
    x = 46,375.45

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.