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Finding the Third Proportional to 155.48 and 217.93

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Solution

The third proportional to 155.48 and 217.93 is: 305.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.48 : 217.93 = 217.93 : x
  2. Step 2: Convert to fraction form
    155.48/217.93 = 217.93/x
  3. Step 3: Cross multiply
    155.48x = 217.93 × 217.93
  4. Step 4: Simplify right side
    155.48x = 47,495.05
  5. Step 5: Solve for x
    x = 47,495.05/155.48
  6. Step 6: Final answer
    x = 305.47

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.