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Finding the Third Proportional to 164.69 and 354.63

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Solution

The third proportional to 164.69 and 354.63 is: 763.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.69 : 354.63 = 354.63 : x
  2. Step 2: Convert to fraction form
    164.69/354.63 = 354.63/x
  3. Step 3: Cross multiply
    164.69x = 354.63 × 354.63
  4. Step 4: Simplify right side
    164.69x = 125,758.89
  5. Step 5: Solve for x
    x = 125,758.89/164.69
  6. Step 6: Final answer
    x = 763.62

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.