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Finding the Third Proportional to 76,288 and 110,968

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Solution

The third proportional to 76,288 and 110,968 is: 161,413.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,288 : 110,968 = 110,968 : x
  2. Step 2: Convert to fraction form
    76,288/110,968 = 110,968/x
  3. Step 3: Cross multiply
    76,288x = 110,968 × 110,968
  4. Step 4: Simplify right side
    76,288x = 12,313,897,024
  5. Step 5: Solve for x
    x = 12,313,897,024/76,288
  6. Step 6: Final answer
    x = 161,413.29

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.