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Finding the Third Proportional to 192,129 and 308,692.50

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Solution

The third proportional to 192,129 and 308,692.50 is: 495,974.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,129 : 308,692.50 = 308,692.50 : x
  2. Step 2: Convert to fraction form
    192,129/308,692.50 = 308,692.50/x
  3. Step 3: Cross multiply
    192,129x = 308,692.50 × 308,692.50
  4. Step 4: Simplify right side
    192,129x = 95,291,059,556.25
  5. Step 5: Solve for x
    x = 95,291,059,556.25/192,129
  6. Step 6: Final answer
    x = 495,974.37

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.