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Finding the Third Proportional to 224.72 and 347.06

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Solution

The third proportional to 224.72 and 347.06 is: 536.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.72 : 347.06 = 347.06 : x
  2. Step 2: Convert to fraction form
    224.72/347.06 = 347.06/x
  3. Step 3: Cross multiply
    224.72x = 347.06 × 347.06
  4. Step 4: Simplify right side
    224.72x = 120,452.38
  5. Step 5: Solve for x
    x = 120,452.38/224.72
  6. Step 6: Final answer
    x = 536.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.