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Finding the Third Proportional to 235.69 and 384.19

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Solution

The third proportional to 235.69 and 384.19 is: 626.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.69 : 384.19 = 384.19 : x
  2. Step 2: Convert to fraction form
    235.69/384.19 = 384.19/x
  3. Step 3: Cross multiply
    235.69x = 384.19 × 384.19
  4. Step 4: Simplify right side
    235.69x = 147,600.04
  5. Step 5: Solve for x
    x = 147,600.04/235.69
  6. Step 6: Final answer
    x = 626.25

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.