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Finding the Third Proportional to 91,642 and 198,836

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Solution

The third proportional to 91,642 and 198,836 is: 431,415.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,642 : 198,836 = 198,836 : x
  2. Step 2: Convert to fraction form
    91,642/198,836 = 198,836/x
  3. Step 3: Cross multiply
    91,642x = 198,836 × 198,836
  4. Step 4: Simplify right side
    91,642x = 39,535,754,896
  5. Step 5: Solve for x
    x = 39,535,754,896/91,642
  6. Step 6: Final answer
    x = 431,415.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.