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Finding the Third Proportional to 78.05 and 170.02

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Solution

The third proportional to 78.05 and 170.02 is: 370.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.05 : 170.02 = 170.02 : x
  2. Step 2: Convert to fraction form
    78.05/170.02 = 170.02/x
  3. Step 3: Cross multiply
    78.05x = 170.02 × 170.02
  4. Step 4: Simplify right side
    78.05x = 28,905.31
  5. Step 5: Solve for x
    x = 28,905.31/78.05
  6. Step 6: Final answer
    x = 370.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.