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Finding the Third Proportional to 212,543.37 and 449,081.09

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Solution

The third proportional to 212,543.37 and 449,081.09 is: 948,859.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,543.37 : 449,081.09 = 449,081.09 : x
  2. Step 2: Convert to fraction form
    212,543.37/449,081.09 = 449,081.09/x
  3. Step 3: Cross multiply
    212,543.37x = 449,081.09 × 449,081.09
  4. Step 4: Simplify right side
    212,543.37x = 201,673,821,746.80
  5. Step 5: Solve for x
    x = 201,673,821,746.80/212,543.37
  6. Step 6: Final answer
    x = 948,859.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.