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Finding the Third Proportional to 60 and 147.19

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Solution

The third proportional to 60 and 147.19 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    60 : 147.19 = 147.19 : x
  2. Step 2: Convert to fraction form
    60/147.19 = 147.19/x
  3. Step 3: Cross multiply
    60x = 147.19 × 147.19
  4. Step 4: Simplify right side
    60x = 21,664.16
  5. Step 5: Solve for x
    x = 21,664.16/60
  6. Step 6: Final answer
    x = 361.07

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Why These Related Problems?

These problems maintain the same ratio (2.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.