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Finding the Third Proportional to 199,455 and 426,936

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Solution

The third proportional to 199,455 and 426,936 is: 913,862.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,455 : 426,936 = 426,936 : x
  2. Step 2: Convert to fraction form
    199,455/426,936 = 426,936/x
  3. Step 3: Cross multiply
    199,455x = 426,936 × 426,936
  4. Step 4: Simplify right side
    199,455x = 182,274,348,096
  5. Step 5: Solve for x
    x = 182,274,348,096/199,455
  6. Step 6: Final answer
    x = 913,862.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.