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Finding the Third Proportional to 64.69 and 113.81

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Solution

The third proportional to 64.69 and 113.81 is: 200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.69 : 113.81 = 113.81 : x
  2. Step 2: Convert to fraction form
    64.69/113.81 = 113.81/x
  3. Step 3: Cross multiply
    64.69x = 113.81 × 113.81
  4. Step 4: Simplify right side
    64.69x = 12,953.29
  5. Step 5: Solve for x
    x = 12,953.29/64.69
  6. Step 6: Final answer
    x = 200.24

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.