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Finding the Third Proportional to 845.58 and 1,844.86

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Solution

The third proportional to 845.58 and 1,844.86 is: 4,025.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    845.58 : 1,844.86 = 1,844.86 : x
  2. Step 2: Convert to fraction form
    845.58/1,844.86 = 1,844.86/x
  3. Step 3: Cross multiply
    845.58x = 1,844.86 × 1,844.86
  4. Step 4: Simplify right side
    845.58x = 3,403,506.11
  5. Step 5: Solve for x
    x = 3,403,506.11/845.58
  6. Step 6: Final answer
    x = 4,025.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.