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Finding the Third Proportional to 211,261.75 and 439,997

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Solution

The third proportional to 211,261.75 and 439,997 is: 916,386.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,261.75 : 439,997 = 439,997 : x
  2. Step 2: Convert to fraction form
    211,261.75/439,997 = 439,997/x
  3. Step 3: Cross multiply
    211,261.75x = 439,997 × 439,997
  4. Step 4: Simplify right side
    211,261.75x = 193,597,360,009
  5. Step 5: Solve for x
    x = 193,597,360,009/211,261.75
  6. Step 6: Final answer
    x = 916,386.24

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.