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Finding the Third Proportional to 336.66 and 448.98

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Solution

The third proportional to 336.66 and 448.98 is: 598.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.66 : 448.98 = 448.98 : x
  2. Step 2: Convert to fraction form
    336.66/448.98 = 448.98/x
  3. Step 3: Cross multiply
    336.66x = 448.98 × 448.98
  4. Step 4: Simplify right side
    336.66x = 201,583.46
  5. Step 5: Solve for x
    x = 201,583.46/336.66
  6. Step 6: Final answer
    x = 598.78

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.