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Finding the Third Proportional to 297.63 and 636.88

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Solution

The third proportional to 297.63 and 636.88 is: 1,362.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    297.63 : 636.88 = 636.88 : x
  2. Step 2: Convert to fraction form
    297.63/636.88 = 636.88/x
  3. Step 3: Cross multiply
    297.63x = 636.88 × 636.88
  4. Step 4: Simplify right side
    297.63x = 405,609.77
  5. Step 5: Solve for x
    x = 405,609.77/297.63
  6. Step 6: Final answer
    x = 1,362.82

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.