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Finding the Third Proportional to 153,844 and 331,112

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Solution

The third proportional to 153,844 and 331,112 is: 712,638.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,844 : 331,112 = 331,112 : x
  2. Step 2: Convert to fraction form
    153,844/331,112 = 331,112/x
  3. Step 3: Cross multiply
    153,844x = 331,112 × 331,112
  4. Step 4: Simplify right side
    153,844x = 109,635,156,544
  5. Step 5: Solve for x
    x = 109,635,156,544/153,844
  6. Step 6: Final answer
    x = 712,638.49

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Why These Related Problems?

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