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Finding the Third Proportional to 77.84 and 172.76

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Solution

The third proportional to 77.84 and 172.76 is: 383.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.84 : 172.76 = 172.76 : x
  2. Step 2: Convert to fraction form
    77.84/172.76 = 172.76/x
  3. Step 3: Cross multiply
    77.84x = 172.76 × 172.76
  4. Step 4: Simplify right side
    77.84x = 29,845.26
  5. Step 5: Solve for x
    x = 29,845.26/77.84
  6. Step 6: Final answer
    x = 383.44

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.