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Finding the Third Proportional to 543.80 and 1,107.84

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Solution

The third proportional to 543.80 and 1,107.84 is: 2,256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.80 : 1,107.84 = 1,107.84 : x
  2. Step 2: Convert to fraction form
    543.80/1,107.84 = 1,107.84/x
  3. Step 3: Cross multiply
    543.80x = 1,107.84 × 1,107.84
  4. Step 4: Simplify right side
    543.80x = 1,227,317.77
  5. Step 5: Solve for x
    x = 1,227,317.77/543.80
  6. Step 6: Final answer
    x = 2,256.94

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.