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Finding the Third Proportional to 211,144.75 and 455,504.75

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Solution

The third proportional to 211,144.75 and 455,504.75 is: 982,665.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,144.75 : 455,504.75 = 455,504.75 : x
  2. Step 2: Convert to fraction form
    211,144.75/455,504.75 = 455,504.75/x
  3. Step 3: Cross multiply
    211,144.75x = 455,504.75 × 455,504.75
  4. Step 4: Simplify right side
    211,144.75x = 207,484,577,272.56
  5. Step 5: Solve for x
    x = 207,484,577,272.56/211,144.75
  6. Step 6: Final answer
    x = 982,665.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.