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Finding the Third Proportional to 188.63 and 269.81

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Solution

The third proportional to 188.63 and 269.81 is: 385.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    188.63 : 269.81 = 269.81 : x
  2. Step 2: Convert to fraction form
    188.63/269.81 = 269.81/x
  3. Step 3: Cross multiply
    188.63x = 269.81 × 269.81
  4. Step 4: Simplify right side
    188.63x = 72,798.79
  5. Step 5: Solve for x
    x = 72,798.79/188.63
  6. Step 6: Final answer
    x = 385.94

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.