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Finding the Third Proportional to 176.77 and 342.35

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Solution

The third proportional to 176.77 and 342.35 is: 663.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.77 : 342.35 = 342.35 : x
  2. Step 2: Convert to fraction form
    176.77/342.35 = 342.35/x
  3. Step 3: Cross multiply
    176.77x = 342.35 × 342.35
  4. Step 4: Simplify right side
    176.77x = 117,204.59
  5. Step 5: Solve for x
    x = 117,204.59/176.77
  6. Step 6: Final answer
    x = 663.05

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.