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Finding the Third Proportional to 237.09 and 486.84

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Solution

The third proportional to 237.09 and 486.84 is: 999.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.09 : 486.84 = 486.84 : x
  2. Step 2: Convert to fraction form
    237.09/486.84 = 486.84/x
  3. Step 3: Cross multiply
    237.09x = 486.84 × 486.84
  4. Step 4: Simplify right side
    237.09x = 237,016.84
  5. Step 5: Solve for x
    x = 237,016.84/237.09
  6. Step 6: Final answer
    x = 999.68

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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.