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Finding the Third Proportional to 355.08 and 543.87

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Solution

The third proportional to 355.08 and 543.87 is: 833.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.08 : 543.87 = 543.87 : x
  2. Step 2: Convert to fraction form
    355.08/543.87 = 543.87/x
  3. Step 3: Cross multiply
    355.08x = 543.87 × 543.87
  4. Step 4: Simplify right side
    355.08x = 295,791.52
  5. Step 5: Solve for x
    x = 295,791.52/355.08
  6. Step 6: Final answer
    x = 833.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.