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Finding the Third Proportional to 176.91 and 258.47

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Solution

The third proportional to 176.91 and 258.47 is: 377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.91 : 258.47 = 258.47 : x
  2. Step 2: Convert to fraction form
    176.91/258.47 = 258.47/x
  3. Step 3: Cross multiply
    176.91x = 258.47 × 258.47
  4. Step 4: Simplify right side
    176.91x = 66,806.09
  5. Step 5: Solve for x
    x = 66,806.09/176.91
  6. Step 6: Final answer
    x = 377.64

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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.