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Finding the Third Proportional to 65.81 and 131.63

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Solution

The third proportional to 65.81 and 131.63 is: 263.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.81 : 131.63 = 131.63 : x
  2. Step 2: Convert to fraction form
    65.81/131.63 = 131.63/x
  3. Step 3: Cross multiply
    65.81x = 131.63 × 131.63
  4. Step 4: Simplify right side
    65.81x = 17,325.14
  5. Step 5: Solve for x
    x = 17,325.14/65.81
  6. Step 6: Final answer
    x = 263.25

Related Problems

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Why These Related Problems?

These problems maintain the same ratio (2) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.