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Finding the Third Proportional to 365.76 and 557.77

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Solution

The third proportional to 365.76 and 557.77 is: 850.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.76 : 557.77 = 557.77 : x
  2. Step 2: Convert to fraction form
    365.76/557.77 = 557.77/x
  3. Step 3: Cross multiply
    365.76x = 557.77 × 557.77
  4. Step 4: Simplify right side
    365.76x = 311,107.19
  5. Step 5: Solve for x
    x = 311,107.19/365.76
  6. Step 6: Final answer
    x = 850.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.