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Finding the Third Proportional to 78,556.50 and 111,069

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Solution

The third proportional to 78,556.50 and 111,069 is: 157,037.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,556.50 : 111,069 = 111,069 : x
  2. Step 2: Convert to fraction form
    78,556.50/111,069 = 111,069/x
  3. Step 3: Cross multiply
    78,556.50x = 111,069 × 111,069
  4. Step 4: Simplify right side
    78,556.50x = 12,336,322,761
  5. Step 5: Solve for x
    x = 12,336,322,761/78,556.50
  6. Step 6: Final answer
    x = 157,037.58

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.