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Finding the Third Proportional to 213.69 and 553.06

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Solution

The third proportional to 213.69 and 553.06 is: 1,431.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.69 : 553.06 = 553.06 : x
  2. Step 2: Convert to fraction form
    213.69/553.06 = 553.06/x
  3. Step 3: Cross multiply
    213.69x = 553.06 × 553.06
  4. Step 4: Simplify right side
    213.69x = 305,878.13
  5. Step 5: Solve for x
    x = 305,878.13/213.69
  6. Step 6: Final answer
    x = 1,431.43

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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.