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Finding the Third Proportional to 212.88 and 551.19

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Solution

The third proportional to 212.88 and 551.19 is: 1,427.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.88 : 551.19 = 551.19 : x
  2. Step 2: Convert to fraction form
    212.88/551.19 = 551.19/x
  3. Step 3: Cross multiply
    212.88x = 551.19 × 551.19
  4. Step 4: Simplify right side
    212.88x = 303,807.66
  5. Step 5: Solve for x
    x = 303,807.66/212.88
  6. Step 6: Final answer
    x = 1,427.16

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Why These Related Problems?

These problems maintain the same ratio (2.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.