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Finding the Third Proportional to 343.55 and 547.17

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Solution

The third proportional to 343.55 and 547.17 is: 871.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.55 : 547.17 = 547.17 : x
  2. Step 2: Convert to fraction form
    343.55/547.17 = 547.17/x
  3. Step 3: Cross multiply
    343.55x = 547.17 × 547.17
  4. Step 4: Simplify right side
    343.55x = 299,397.06
  5. Step 5: Solve for x
    x = 299,397.06/343.55
  6. Step 6: Final answer
    x = 871.49

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.