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Finding the Third Proportional to 74.63 and 163.62

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Solution

The third proportional to 74.63 and 163.62 is: 358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.63 : 163.62 = 163.62 : x
  2. Step 2: Convert to fraction form
    74.63/163.62 = 163.62/x
  3. Step 3: Cross multiply
    74.63x = 163.62 × 163.62
  4. Step 4: Simplify right side
    74.63x = 26,772.02
  5. Step 5: Solve for x
    x = 26,772.02/74.63
  6. Step 6: Final answer
    x = 358.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.