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Finding the Third Proportional to 251.63 and 557.06

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Solution

The third proportional to 251.63 and 557.06 is: 1,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 557.06 = 557.06 : x
  2. Step 2: Convert to fraction form
    251.63/557.06 = 557.06/x
  3. Step 3: Cross multiply
    251.63x = 557.06 × 557.06
  4. Step 4: Simplify right side
    251.63x = 310,318.63
  5. Step 5: Solve for x
    x = 310,318.63/251.63
  6. Step 6: Final answer
    x = 1,233.26

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.