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Finding the Third Proportional to 387.77 and 845.27

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Solution

The third proportional to 387.77 and 845.27 is: 1,842.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.77 : 845.27 = 845.27 : x
  2. Step 2: Convert to fraction form
    387.77/845.27 = 845.27/x
  3. Step 3: Cross multiply
    387.77x = 845.27 × 845.27
  4. Step 4: Simplify right side
    387.77x = 714,487.18
  5. Step 5: Solve for x
    x = 714,487.18/387.77
  6. Step 6: Final answer
    x = 1,842.54

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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.