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Finding the Third Proportional to 357.05 and 489.30

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Solution

The third proportional to 357.05 and 489.30 is: 670.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    357.05 : 489.30 = 489.30 : x
  2. Step 2: Convert to fraction form
    357.05/489.30 = 489.30/x
  3. Step 3: Cross multiply
    357.05x = 489.30 × 489.30
  4. Step 4: Simplify right side
    357.05x = 239,419.08
  5. Step 5: Solve for x
    x = 239,419.08/357.05
  6. Step 6: Final answer
    x = 670.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.