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Finding the Third Proportional to 76,755 and 116,991

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Solution

The third proportional to 76,755 and 116,991 is: 178,319.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,755 : 116,991 = 116,991 : x
  2. Step 2: Convert to fraction form
    76,755/116,991 = 116,991/x
  3. Step 3: Cross multiply
    76,755x = 116,991 × 116,991
  4. Step 4: Simplify right side
    76,755x = 13,686,894,081
  5. Step 5: Solve for x
    x = 13,686,894,081/76,755
  6. Step 6: Final answer
    x = 178,319.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.