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Finding the Third Proportional to 383.63 and 587.81

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Solution

The third proportional to 383.63 and 587.81 is: 900.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.63 : 587.81 = 587.81 : x
  2. Step 2: Convert to fraction form
    383.63/587.81 = 587.81/x
  3. Step 3: Cross multiply
    383.63x = 587.81 × 587.81
  4. Step 4: Simplify right side
    383.63x = 345,523.54
  5. Step 5: Solve for x
    x = 345,523.54/383.63
  6. Step 6: Final answer
    x = 900.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.