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Finding the Third Proportional to 202.99 and 336.76

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Solution

The third proportional to 202.99 and 336.76 is: 558.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.99 : 336.76 = 336.76 : x
  2. Step 2: Convert to fraction form
    202.99/336.76 = 336.76/x
  3. Step 3: Cross multiply
    202.99x = 336.76 × 336.76
  4. Step 4: Simplify right side
    202.99x = 113,408.46
  5. Step 5: Solve for x
    x = 113,408.46/202.99
  6. Step 6: Final answer
    x = 558.68

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.