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Finding the Third Proportional to 85,118 and 118,989

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Solution

The third proportional to 85,118 and 118,989 is: 166,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,118 : 118,989 = 118,989 : x
  2. Step 2: Convert to fraction form
    85,118/118,989 = 118,989/x
  3. Step 3: Cross multiply
    85,118x = 118,989 × 118,989
  4. Step 4: Simplify right side
    85,118x = 14,158,382,121
  5. Step 5: Solve for x
    x = 14,158,382,121/85,118
  6. Step 6: Final answer
    x = 166,338.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.