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Finding the Third Proportional to 380.64 and 491.70

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Solution

The third proportional to 380.64 and 491.70 is: 635.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.64 : 491.70 = 491.70 : x
  2. Step 2: Convert to fraction form
    380.64/491.70 = 491.70/x
  3. Step 3: Cross multiply
    380.64x = 491.70 × 491.70
  4. Step 4: Simplify right side
    380.64x = 241,764.28
  5. Step 5: Solve for x
    x = 241,764.28/380.64
  6. Step 6: Final answer
    x = 635.16

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.