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Finding the Third Proportional to 543.94 and 869.91

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Solution

The third proportional to 543.94 and 869.91 is: 1,391.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.94 : 869.91 = 869.91 : x
  2. Step 2: Convert to fraction form
    543.94/869.91 = 869.91/x
  3. Step 3: Cross multiply
    543.94x = 869.91 × 869.91
  4. Step 4: Simplify right side
    543.94x = 756,736.88
  5. Step 5: Solve for x
    x = 756,736.88/543.94
  6. Step 6: Final answer
    x = 1,391.22

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.