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Finding the Third Proportional to 297.56 and 622.06

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Solution

The third proportional to 297.56 and 622.06 is: 1,300.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.56 : 622.06 = 622.06 : x
  2. Step 2: Convert to fraction form
    297.56/622.06 = 622.06/x
  3. Step 3: Cross multiply
    297.56x = 622.06 × 622.06
  4. Step 4: Simplify right side
    297.56x = 386,961.75
  5. Step 5: Solve for x
    x = 386,961.75/297.56
  6. Step 6: Final answer
    x = 1,300.44

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.