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Finding the Third Proportional to 164.60 and 355.15

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Solution

The third proportional to 164.60 and 355.15 is: 766.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.60 : 355.15 = 355.15 : x
  2. Step 2: Convert to fraction form
    164.60/355.15 = 355.15/x
  3. Step 3: Cross multiply
    164.60x = 355.15 × 355.15
  4. Step 4: Simplify right side
    164.60x = 126,130.41
  5. Step 5: Solve for x
    x = 126,130.41/164.60
  6. Step 6: Final answer
    x = 766.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.