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Finding the Third Proportional to 338.87 and 543.90

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Solution

The third proportional to 338.87 and 543.90 is: 872.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.87 : 543.90 = 543.90 : x
  2. Step 2: Convert to fraction form
    338.87/543.90 = 543.90/x
  3. Step 3: Cross multiply
    338.87x = 543.90 × 543.90
  4. Step 4: Simplify right side
    338.87x = 295,829.76
  5. Step 5: Solve for x
    x = 295,829.76/338.87
  6. Step 6: Final answer
    x = 872.99

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.