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Finding the Third Proportional to 64.94 and 143.09

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Solution

The third proportional to 64.94 and 143.09 is: 315.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 143.09 = 143.09 : x
  2. Step 2: Convert to fraction form
    64.94/143.09 = 143.09/x
  3. Step 3: Cross multiply
    64.94x = 143.09 × 143.09
  4. Step 4: Simplify right side
    64.94x = 20,475.82
  5. Step 5: Solve for x
    x = 20,475.82/64.94
  6. Step 6: Final answer
    x = 315.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.