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Finding the Third Proportional to 64.94 and 137.06

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Solution

The third proportional to 64.94 and 137.06 is: 289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.94 : 137.06 = 137.06 : x
  2. Step 2: Convert to fraction form
    64.94/137.06 = 137.06/x
  3. Step 3: Cross multiply
    64.94x = 137.06 × 137.06
  4. Step 4: Simplify right side
    64.94x = 18,786.13
  5. Step 5: Solve for x
    x = 18,786.13/64.94
  6. Step 6: Final answer
    x = 289.30

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.