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Finding the Third Proportional to 76,098 and 121,194

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Solution

The third proportional to 76,098 and 121,194 is: 193,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,098 : 121,194 = 121,194 : x
  2. Step 2: Convert to fraction form
    76,098/121,194 = 121,194/x
  3. Step 3: Cross multiply
    76,098x = 121,194 × 121,194
  4. Step 4: Simplify right side
    76,098x = 14,687,985,636
  5. Step 5: Solve for x
    x = 14,687,985,636/76,098
  6. Step 6: Final answer
    x = 193,014.08

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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.