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Finding the Third Proportional to 258.05 and 620.65

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Solution

The third proportional to 258.05 and 620.65 is: 1,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.05 : 620.65 = 620.65 : x
  2. Step 2: Convert to fraction form
    258.05/620.65 = 620.65/x
  3. Step 3: Cross multiply
    258.05x = 620.65 × 620.65
  4. Step 4: Simplify right side
    258.05x = 385,204.48
  5. Step 5: Solve for x
    x = 385,204.48/258.05
  6. Step 6: Final answer
    x = 1,492.77

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.