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Finding the Third Proportional to 223,086 and 318,015

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Solution

The third proportional to 223,086 and 318,015 is: 453,338.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,086 : 318,015 = 318,015 : x
  2. Step 2: Convert to fraction form
    223,086/318,015 = 318,015/x
  3. Step 3: Cross multiply
    223,086x = 318,015 × 318,015
  4. Step 4: Simplify right side
    223,086x = 101,133,540,225
  5. Step 5: Solve for x
    x = 101,133,540,225/223,086
  6. Step 6: Final answer
    x = 453,338.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.