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Finding the Third Proportional to 4,132.13 and 9,083.25

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Solution

The third proportional to 4,132.13 and 9,083.25 is: 19,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.13 : 9,083.25 = 9,083.25 : x
  2. Step 2: Convert to fraction form
    4,132.13/9,083.25 = 9,083.25/x
  3. Step 3: Cross multiply
    4,132.13x = 9,083.25 × 9,083.25
  4. Step 4: Simplify right side
    4,132.13x = 82,505,430.56
  5. Step 5: Solve for x
    x = 82,505,430.56/4,132.13
  6. Step 6: Final answer
    x = 19,966.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.