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Finding the Third Proportional to 109,200.38 and 223,692.75

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Solution

The third proportional to 109,200.38 and 223,692.75 is: 458,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,200.38 : 223,692.75 = 223,692.75 : x
  2. Step 2: Convert to fraction form
    109,200.38/223,692.75 = 223,692.75/x
  3. Step 3: Cross multiply
    109,200.38x = 223,692.75 × 223,692.75
  4. Step 4: Simplify right side
    109,200.38x = 50,038,446,402.56
  5. Step 5: Solve for x
    x = 50,038,446,402.56/109,200.38
  6. Step 6: Final answer
    x = 458,225.96

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.