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Finding the Third Proportional to 180.77 and 395.51

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Solution

The third proportional to 180.77 and 395.51 is: 865.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.77 : 395.51 = 395.51 : x
  2. Step 2: Convert to fraction form
    180.77/395.51 = 395.51/x
  3. Step 3: Cross multiply
    180.77x = 395.51 × 395.51
  4. Step 4: Simplify right side
    180.77x = 156,426.43
  5. Step 5: Solve for x
    x = 156,426.43/180.77
  6. Step 6: Final answer
    x = 865.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.