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Finding the Third Proportional to 77,679 and 113,949

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Solution

The third proportional to 77,679 and 113,949 is: 167,154.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,679 : 113,949 = 113,949 : x
  2. Step 2: Convert to fraction form
    77,679/113,949 = 113,949/x
  3. Step 3: Cross multiply
    77,679x = 113,949 × 113,949
  4. Step 4: Simplify right side
    77,679x = 12,984,374,601
  5. Step 5: Solve for x
    x = 12,984,374,601/77,679
  6. Step 6: Final answer
    x = 167,154.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.