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Finding the Third Proportional to 176.08 and 405.79

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Solution

The third proportional to 176.08 and 405.79 is: 935.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.08 : 405.79 = 405.79 : x
  2. Step 2: Convert to fraction form
    176.08/405.79 = 405.79/x
  3. Step 3: Cross multiply
    176.08x = 405.79 × 405.79
  4. Step 4: Simplify right side
    176.08x = 164,666.35
  5. Step 5: Solve for x
    x = 164,666.35/176.08
  6. Step 6: Final answer
    x = 935.18

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.