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Finding the Third Proportional to 64.06 and 142.44

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Solution

The third proportional to 64.06 and 142.44 is: 316.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.06 : 142.44 = 142.44 : x
  2. Step 2: Convert to fraction form
    64.06/142.44 = 142.44/x
  3. Step 3: Cross multiply
    64.06x = 142.44 × 142.44
  4. Step 4: Simplify right side
    64.06x = 20,288.44
  5. Step 5: Solve for x
    x = 20,288.44/64.06
  6. Step 6: Final answer
    x = 316.70

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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.