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Finding the Third Proportional to 165.22 and 358.90

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Solution

The third proportional to 165.22 and 358.90 is: 779.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 358.90 = 358.90 : x
  2. Step 2: Convert to fraction form
    165.22/358.90 = 358.90/x
  3. Step 3: Cross multiply
    165.22x = 358.90 × 358.90
  4. Step 4: Simplify right side
    165.22x = 128,810.19
  5. Step 5: Solve for x
    x = 128,810.19/165.22
  6. Step 6: Final answer
    x = 779.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.