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Finding the Third Proportional to 78.84 and 174.19

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Solution

The third proportional to 78.84 and 174.19 is: 384.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.84 : 174.19 = 174.19 : x
  2. Step 2: Convert to fraction form
    78.84/174.19 = 174.19/x
  3. Step 3: Cross multiply
    78.84x = 174.19 × 174.19
  4. Step 4: Simplify right side
    78.84x = 30,341.29
  5. Step 5: Solve for x
    x = 30,341.29/78.84
  6. Step 6: Final answer
    x = 384.83

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.