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Finding the Third Proportional to 133,612.03 and 331,638.05

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Solution

The third proportional to 133,612.03 and 331,638.05 is: 823,157.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,612.03 : 331,638.05 = 331,638.05 : x
  2. Step 2: Convert to fraction form
    133,612.03/331,638.05 = 331,638.05/x
  3. Step 3: Cross multiply
    133,612.03x = 331,638.05 × 331,638.05
  4. Step 4: Simplify right side
    133,612.03x = 109,983,794,135.07
  5. Step 5: Solve for x
    x = 109,983,794,135.07/133,612.03
  6. Step 6: Final answer
    x = 823,157.86

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.