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Finding the Third Proportional to 223.88 and 544.31

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Solution

The third proportional to 223.88 and 544.31 is: 1,323.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.88 : 544.31 = 544.31 : x
  2. Step 2: Convert to fraction form
    223.88/544.31 = 544.31/x
  3. Step 3: Cross multiply
    223.88x = 544.31 × 544.31
  4. Step 4: Simplify right side
    223.88x = 296,276.10
  5. Step 5: Solve for x
    x = 296,276.10/223.88
  6. Step 6: Final answer
    x = 1,323.40

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Why These Related Problems?

These problems maintain the same ratio (2.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.