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Finding the Third Proportional to 383.81 and 521.16

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Solution

The third proportional to 383.81 and 521.16 is: 707.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    383.81 : 521.16 = 521.16 : x
  2. Step 2: Convert to fraction form
    383.81/521.16 = 521.16/x
  3. Step 3: Cross multiply
    383.81x = 521.16 × 521.16
  4. Step 4: Simplify right side
    383.81x = 271,603.84
  5. Step 5: Solve for x
    x = 271,603.84/383.81
  6. Step 6: Final answer
    x = 707.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.