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Finding the Third Proportional to 7,945.25 and 15,690.75

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Solution

The third proportional to 7,945.25 and 15,690.75 is: 30,987.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,945.25 : 15,690.75 = 15,690.75 : x
  2. Step 2: Convert to fraction form
    7,945.25/15,690.75 = 15,690.75/x
  3. Step 3: Cross multiply
    7,945.25x = 15,690.75 × 15,690.75
  4. Step 4: Simplify right side
    7,945.25x = 246,199,635.56
  5. Step 5: Solve for x
    x = 246,199,635.56/7,945.25
  6. Step 6: Final answer
    x = 30,987.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.