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Finding the Third Proportional to 7,561.13 and 15,987.75

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Solution

The third proportional to 7,561.13 and 15,987.75 is: 33,805.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,561.13 : 15,987.75 = 15,987.75 : x
  2. Step 2: Convert to fraction form
    7,561.13/15,987.75 = 15,987.75/x
  3. Step 3: Cross multiply
    7,561.13x = 15,987.75 × 15,987.75
  4. Step 4: Simplify right side
    7,561.13x = 255,608,150.06
  5. Step 5: Solve for x
    x = 255,608,150.06/7,561.13
  6. Step 6: Final answer
    x = 33,805.57

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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.