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Finding the Third Proportional to 224.51 and 476.19

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Solution

The third proportional to 224.51 and 476.19 is: 1,010.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.51 : 476.19 = 476.19 : x
  2. Step 2: Convert to fraction form
    224.51/476.19 = 476.19/x
  3. Step 3: Cross multiply
    224.51x = 476.19 × 476.19
  4. Step 4: Simplify right side
    224.51x = 226,758.26
  5. Step 5: Solve for x
    x = 226,758.26/224.51
  6. Step 6: Final answer
    x = 1,010.02

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.