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Finding the Third Proportional to 102,731 and 220,740

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Solution

The third proportional to 102,731 and 220,740 is: 474,308.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,731 : 220,740 = 220,740 : x
  2. Step 2: Convert to fraction form
    102,731/220,740 = 220,740/x
  3. Step 3: Cross multiply
    102,731x = 220,740 × 220,740
  4. Step 4: Simplify right side
    102,731x = 48,726,147,600
  5. Step 5: Solve for x
    x = 48,726,147,600/102,731
  6. Step 6: Final answer
    x = 474,308.12

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.