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Finding the Third Proportional to 64.55 and 167.84

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Solution

The third proportional to 64.55 and 167.84 is: 436.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 167.84 = 167.84 : x
  2. Step 2: Convert to fraction form
    64.55/167.84 = 167.84/x
  3. Step 3: Cross multiply
    64.55x = 167.84 × 167.84
  4. Step 4: Simplify right side
    64.55x = 28,168.90
  5. Step 5: Solve for x
    x = 28,168.90/64.55
  6. Step 6: Final answer
    x = 436.41

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.