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Finding the Third Proportional to 69,165 and 109,971

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Solution

The third proportional to 69,165 and 109,971 is: 174,851.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,165 : 109,971 = 109,971 : x
  2. Step 2: Convert to fraction form
    69,165/109,971 = 109,971/x
  3. Step 3: Cross multiply
    69,165x = 109,971 × 109,971
  4. Step 4: Simplify right side
    69,165x = 12,093,620,841
  5. Step 5: Solve for x
    x = 12,093,620,841/69,165
  6. Step 6: Final answer
    x = 174,851.74

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.