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Finding the Third Proportional to 164.50 and 336.63

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Solution

The third proportional to 164.50 and 336.63 is: 688.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.50 : 336.63 = 336.63 : x
  2. Step 2: Convert to fraction form
    164.50/336.63 = 336.63/x
  3. Step 3: Cross multiply
    164.50x = 336.63 × 336.63
  4. Step 4: Simplify right side
    164.50x = 113,316.39
  5. Step 5: Solve for x
    x = 113,316.39/164.50
  6. Step 6: Final answer
    x = 688.85

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.