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Finding the Third Proportional to 7,919.96 and 17,218.20

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Solution

The third proportional to 7,919.96 and 17,218.20 is: 37,432.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.96 : 17,218.20 = 17,218.20 : x
  2. Step 2: Convert to fraction form
    7,919.96/17,218.20 = 17,218.20/x
  3. Step 3: Cross multiply
    7,919.96x = 17,218.20 × 17,218.20
  4. Step 4: Simplify right side
    7,919.96x = 296,466,249.82
  5. Step 5: Solve for x
    x = 296,466,249.82/7,919.96
  6. Step 6: Final answer
    x = 37,432.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.