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Finding the Third Proportional to 845.81 and 1,961.91

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Solution

The third proportional to 845.81 and 1,961.91 is: 4,550.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.81 : 1,961.91 = 1,961.91 : x
  2. Step 2: Convert to fraction form
    845.81/1,961.91 = 1,961.91/x
  3. Step 3: Cross multiply
    845.81x = 1,961.91 × 1,961.91
  4. Step 4: Simplify right side
    845.81x = 3,849,076.13
  5. Step 5: Solve for x
    x = 3,849,076.13/845.81
  6. Step 6: Final answer
    x = 4,550.74

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.