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Finding the Third Proportional to 206,028 and 318,848

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Solution

The third proportional to 206,028 and 318,848 is: 493,447.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,028 : 318,848 = 318,848 : x
  2. Step 2: Convert to fraction form
    206,028/318,848 = 318,848/x
  3. Step 3: Cross multiply
    206,028x = 318,848 × 318,848
  4. Step 4: Simplify right side
    206,028x = 101,664,047,104
  5. Step 5: Solve for x
    x = 101,664,047,104/206,028
  6. Step 6: Final answer
    x = 493,447.72

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.