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Finding the Third Proportional to 85,647 and 121,734

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Solution

The third proportional to 85,647 and 121,734 is: 173,026.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,647 : 121,734 = 121,734 : x
  2. Step 2: Convert to fraction form
    85,647/121,734 = 121,734/x
  3. Step 3: Cross multiply
    85,647x = 121,734 × 121,734
  4. Step 4: Simplify right side
    85,647x = 14,819,166,756
  5. Step 5: Solve for x
    x = 14,819,166,756/85,647
  6. Step 6: Final answer
    x = 173,026.10

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.