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Finding the Third Proportional to 69,140 and 106,950

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Solution

The third proportional to 69,140 and 106,950 is: 165,436.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,140 : 106,950 = 106,950 : x
  2. Step 2: Convert to fraction form
    69,140/106,950 = 106,950/x
  3. Step 3: Cross multiply
    69,140x = 106,950 × 106,950
  4. Step 4: Simplify right side
    69,140x = 11,438,302,500
  5. Step 5: Solve for x
    x = 11,438,302,500/69,140
  6. Step 6: Final answer
    x = 165,436.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.