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Finding the Third Proportional to 236.36 and 489.08

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Solution

The third proportional to 236.36 and 489.08 is: 1,012.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.36 : 489.08 = 489.08 : x
  2. Step 2: Convert to fraction form
    236.36/489.08 = 489.08/x
  3. Step 3: Cross multiply
    236.36x = 489.08 × 489.08
  4. Step 4: Simplify right side
    236.36x = 239,204.10
  5. Step 5: Solve for x
    x = 239,204.10/236.36
  6. Step 6: Final answer
    x = 1,012.05

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.