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Finding the Third Proportional to 199,868.50 and 407,765.50

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Solution

The third proportional to 199,868.50 and 407,765.50 is: 831,910.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,868.50 : 407,765.50 = 407,765.50 : x
  2. Step 2: Convert to fraction form
    199,868.50/407,765.50 = 407,765.50/x
  3. Step 3: Cross multiply
    199,868.50x = 407,765.50 × 407,765.50
  4. Step 4: Simplify right side
    199,868.50x = 166,272,702,990.25
  5. Step 5: Solve for x
    x = 166,272,702,990.25/199,868.50
  6. Step 6: Final answer
    x = 831,910.50

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.