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Finding the Third Proportional to 5,101.13 and 10,759.50

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Solution

The third proportional to 5,101.13 and 10,759.50 is: 22,694.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,101.13 : 10,759.50 = 10,759.50 : x
  2. Step 2: Convert to fraction form
    5,101.13/10,759.50 = 10,759.50/x
  3. Step 3: Cross multiply
    5,101.13x = 10,759.50 × 10,759.50
  4. Step 4: Simplify right side
    5,101.13x = 115,766,840.25
  5. Step 5: Solve for x
    x = 115,766,840.25/5,101.13
  6. Step 6: Final answer
    x = 22,694.37

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.