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Finding the Third Proportional to 7,191 and 10,786.50

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Solution

The third proportional to 7,191 and 10,786.50 is: 16,179.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,191 : 10,786.50 = 10,786.50 : x
  2. Step 2: Convert to fraction form
    7,191/10,786.50 = 10,786.50/x
  3. Step 3: Cross multiply
    7,191x = 10,786.50 × 10,786.50
  4. Step 4: Simplify right side
    7,191x = 116,348,582.25
  5. Step 5: Solve for x
    x = 116,348,582.25/7,191
  6. Step 6: Final answer
    x = 16,179.75

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.