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Finding the Third Proportional to 78,269 and 118,899

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Solution

The third proportional to 78,269 and 118,899 is: 180,620.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,269 : 118,899 = 118,899 : x
  2. Step 2: Convert to fraction form
    78,269/118,899 = 118,899/x
  3. Step 3: Cross multiply
    78,269x = 118,899 × 118,899
  4. Step 4: Simplify right side
    78,269x = 14,136,972,201
  5. Step 5: Solve for x
    x = 14,136,972,201/78,269
  6. Step 6: Final answer
    x = 180,620.32

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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.