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Finding the Third Proportional to 357.06 and 383.64

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Solution

The third proportional to 357.06 and 383.64 is: 412.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.06 : 383.64 = 383.64 : x
  2. Step 2: Convert to fraction form
    357.06/383.64 = 383.64/x
  3. Step 3: Cross multiply
    357.06x = 383.64 × 383.64
  4. Step 4: Simplify right side
    357.06x = 147,181.63
  5. Step 5: Solve for x
    x = 147,181.63/357.06
  6. Step 6: Final answer
    x = 412.20

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.