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Finding the Third Proportional to 65.81 and 156.09

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Solution

The third proportional to 65.81 and 156.09 is: 370.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 156.09 = 156.09 : x
  2. Step 2: Convert to fraction form
    65.81/156.09 = 156.09/x
  3. Step 3: Cross multiply
    65.81x = 156.09 × 156.09
  4. Step 4: Simplify right side
    65.81x = 24,365.26
  5. Step 5: Solve for x
    x = 24,365.26/65.81
  6. Step 6: Final answer
    x = 370.22

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.