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Finding the Third Proportional to 102.63 and 150.13

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Solution

The third proportional to 102.63 and 150.13 is: 219.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.63 : 150.13 = 150.13 : x
  2. Step 2: Convert to fraction form
    102.63/150.13 = 150.13/x
  3. Step 3: Cross multiply
    102.63x = 150.13 × 150.13
  4. Step 4: Simplify right side
    102.63x = 22,537.52
  5. Step 5: Solve for x
    x = 22,537.52/102.63
  6. Step 6: Final answer
    x = 219.61

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.