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Finding the Third Proportional to 3,455.79 and 5,187.16

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Solution

The third proportional to 3,455.79 and 5,187.16 is: 7,785.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,455.79 : 5,187.16 = 5,187.16 : x
  2. Step 2: Convert to fraction form
    3,455.79/5,187.16 = 5,187.16/x
  3. Step 3: Cross multiply
    3,455.79x = 5,187.16 × 5,187.16
  4. Step 4: Simplify right side
    3,455.79x = 26,906,671.01
  5. Step 5: Solve for x
    x = 26,906,671.01/3,455.79
  6. Step 6: Final answer
    x = 7,785.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.