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Finding the Third Proportional to 78,986 and 125,556.50

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Solution

The third proportional to 78,986 and 125,556.50 is: 199,585.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,986 : 125,556.50 = 125,556.50 : x
  2. Step 2: Convert to fraction form
    78,986/125,556.50 = 125,556.50/x
  3. Step 3: Cross multiply
    78,986x = 125,556.50 × 125,556.50
  4. Step 4: Simplify right side
    78,986x = 15,764,434,692.25
  5. Step 5: Solve for x
    x = 15,764,434,692.25/78,986
  6. Step 6: Final answer
    x = 199,585.18

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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.