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Finding the Third Proportional to 357.94 and 485.06

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Solution

The third proportional to 357.94 and 485.06 is: 657.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.94 : 485.06 = 485.06 : x
  2. Step 2: Convert to fraction form
    357.94/485.06 = 485.06/x
  3. Step 3: Cross multiply
    357.94x = 485.06 × 485.06
  4. Step 4: Simplify right side
    357.94x = 235,285.63
  5. Step 5: Solve for x
    x = 235,285.63/357.94
  6. Step 6: Final answer
    x = 657.34

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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.