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Finding the Third Proportional to 74.53 and 162.28

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Solution

The third proportional to 74.53 and 162.28 is: 353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 162.28 = 162.28 : x
  2. Step 2: Convert to fraction form
    74.53/162.28 = 162.28/x
  3. Step 3: Cross multiply
    74.53x = 162.28 × 162.28
  4. Step 4: Simplify right side
    74.53x = 26,335.20
  5. Step 5: Solve for x
    x = 26,335.20/74.53
  6. Step 6: Final answer
    x = 353.34

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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.