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Finding the Third Proportional to 164.30 and 346.17

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Solution

The third proportional to 164.30 and 346.17 is: 729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.30 : 346.17 = 346.17 : x
  2. Step 2: Convert to fraction form
    164.30/346.17 = 346.17/x
  3. Step 3: Cross multiply
    164.30x = 346.17 × 346.17
  4. Step 4: Simplify right side
    164.30x = 119,834.97
  5. Step 5: Solve for x
    x = 119,834.97/164.30
  6. Step 6: Final answer
    x = 729.38

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.