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Finding the Third Proportional to 135,821 and 289,138

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Solution

The third proportional to 135,821 and 289,138 is: 615,521.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,821 : 289,138 = 289,138 : x
  2. Step 2: Convert to fraction form
    135,821/289,138 = 289,138/x
  3. Step 3: Cross multiply
    135,821x = 289,138 × 289,138
  4. Step 4: Simplify right side
    135,821x = 83,600,783,044
  5. Step 5: Solve for x
    x = 83,600,783,044/135,821
  6. Step 6: Final answer
    x = 615,521.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.