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Finding the Third Proportional to 7,919.81 and 18,415.56

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Solution

The third proportional to 7,919.81 and 18,415.56 is: 42,820.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,919.81 : 18,415.56 = 18,415.56 : x
  2. Step 2: Convert to fraction form
    7,919.81/18,415.56 = 18,415.56/x
  3. Step 3: Cross multiply
    7,919.81x = 18,415.56 × 18,415.56
  4. Step 4: Simplify right side
    7,919.81x = 339,132,690.42
  5. Step 5: Solve for x
    x = 339,132,690.42/7,919.81
  6. Step 6: Final answer
    x = 42,820.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.