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Finding the Third Proportional to 69.63 and 151.63

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Solution

The third proportional to 69.63 and 151.63 is: 330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.63 : 151.63 = 151.63 : x
  2. Step 2: Convert to fraction form
    69.63/151.63 = 151.63/x
  3. Step 3: Cross multiply
    69.63x = 151.63 × 151.63
  4. Step 4: Simplify right side
    69.63x = 22,990.14
  5. Step 5: Solve for x
    x = 22,990.14/69.63
  6. Step 6: Final answer
    x = 330.20

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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.