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Finding the Third Proportional to 211,355.16 and 498,640.22

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Solution

The third proportional to 211,355.16 and 498,640.22 is: 1,176,418.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,355.16 : 498,640.22 = 498,640.22 : x
  2. Step 2: Convert to fraction form
    211,355.16/498,640.22 = 498,640.22/x
  3. Step 3: Cross multiply
    211,355.16x = 498,640.22 × 498,640.22
  4. Step 4: Simplify right side
    211,355.16x = 248,642,067,755.05
  5. Step 5: Solve for x
    x = 248,642,067,755.05/211,355.16
  6. Step 6: Final answer
    x = 1,176,418.27

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.