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Finding the Third Proportional to 91,268 and 199,343

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Solution

The third proportional to 91,268 and 199,343 is: 435,395.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,268 : 199,343 = 199,343 : x
  2. Step 2: Convert to fraction form
    91,268/199,343 = 199,343/x
  3. Step 3: Cross multiply
    91,268x = 199,343 × 199,343
  4. Step 4: Simplify right side
    91,268x = 39,737,631,649
  5. Step 5: Solve for x
    x = 39,737,631,649/91,268
  6. Step 6: Final answer
    x = 435,395.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.