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Finding the Third Proportional to 121,659 and 193,729

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Solution

The third proportional to 121,659 and 193,729 is: 308,492.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,659 : 193,729 = 193,729 : x
  2. Step 2: Convert to fraction form
    121,659/193,729 = 193,729/x
  3. Step 3: Cross multiply
    121,659x = 193,729 × 193,729
  4. Step 4: Simplify right side
    121,659x = 37,530,925,441
  5. Step 5: Solve for x
    x = 37,530,925,441/121,659
  6. Step 6: Final answer
    x = 308,492.80

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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.