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Finding the Third Proportional to 164.57 and 358.09

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Solution

The third proportional to 164.57 and 358.09 is: 779.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.57 : 358.09 = 358.09 : x
  2. Step 2: Convert to fraction form
    164.57/358.09 = 358.09/x
  3. Step 3: Cross multiply
    164.57x = 358.09 × 358.09
  4. Step 4: Simplify right side
    164.57x = 128,230.43
  5. Step 5: Solve for x
    x = 128,230.43/164.57
  6. Step 6: Final answer
    x = 779.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.