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Finding the Third Proportional to 203.50 and 297.63

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Solution

The third proportional to 203.50 and 297.63 is: 435.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.50 : 297.63 = 297.63 : x
  2. Step 2: Convert to fraction form
    203.50/297.63 = 297.63/x
  3. Step 3: Cross multiply
    203.50x = 297.63 × 297.63
  4. Step 4: Simplify right side
    203.50x = 88,580.64
  5. Step 5: Solve for x
    x = 88,580.64/203.50
  6. Step 6: Final answer
    x = 435.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.