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Finding the Third Proportional to 919.59 and 1,992.66

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Solution

The third proportional to 919.59 and 1,992.66 is: 4,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.59 : 1,992.66 = 1,992.66 : x
  2. Step 2: Convert to fraction form
    919.59/1,992.66 = 1,992.66/x
  3. Step 3: Cross multiply
    919.59x = 1,992.66 × 1,992.66
  4. Step 4: Simplify right side
    919.59x = 3,970,678.93
  5. Step 5: Solve for x
    x = 3,970,678.93/919.59
  6. Step 6: Final answer
    x = 4,317.86

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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.