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Finding the Third Proportional to 69.13 and 150.63

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Solution

The third proportional to 69.13 and 150.63 is: 328.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.13 : 150.63 = 150.63 : x
  2. Step 2: Convert to fraction form
    69.13/150.63 = 150.63/x
  3. Step 3: Cross multiply
    69.13x = 150.63 × 150.63
  4. Step 4: Simplify right side
    69.13x = 22,687.89
  5. Step 5: Solve for x
    x = 22,687.89/69.13
  6. Step 6: Final answer
    x = 328.22

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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.