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Finding the Third Proportional to 236.61 and 485.02

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Solution

The third proportional to 236.61 and 485.02 is: 994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.61 : 485.02 = 485.02 : x
  2. Step 2: Convert to fraction form
    236.61/485.02 = 485.02/x
  3. Step 3: Cross multiply
    236.61x = 485.02 × 485.02
  4. Step 4: Simplify right side
    236.61x = 235,242.29
  5. Step 5: Solve for x
    x = 235,242.29/236.61
  6. Step 6: Final answer
    x = 994.24

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.