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Finding the Third Proportional to 171.49 and 307.55

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Solution

The third proportional to 171.49 and 307.55 is: 551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.49 : 307.55 = 307.55 : x
  2. Step 2: Convert to fraction form
    171.49/307.55 = 307.55/x
  3. Step 3: Cross multiply
    171.49x = 307.55 × 307.55
  4. Step 4: Simplify right side
    171.49x = 94,585.08
  5. Step 5: Solve for x
    x = 94,585.08/171.49
  6. Step 6: Final answer
    x = 551.54

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.