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Finding the Third Proportional to 121,661 and 193,732

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Solution

The third proportional to 121,661 and 193,732 is: 308,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,661 : 193,732 = 193,732 : x
  2. Step 2: Convert to fraction form
    121,661/193,732 = 193,732/x
  3. Step 3: Cross multiply
    121,661x = 193,732 × 193,732
  4. Step 4: Simplify right side
    121,661x = 37,532,087,824
  5. Step 5: Solve for x
    x = 37,532,087,824/121,661
  6. Step 6: Final answer
    x = 308,497.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.