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Finding the Third Proportional to 198,969.75 and 409,603.50

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Solution

The third proportional to 198,969.75 and 409,603.50 is: 843,218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,969.75 : 409,603.50 = 409,603.50 : x
  2. Step 2: Convert to fraction form
    198,969.75/409,603.50 = 409,603.50/x
  3. Step 3: Cross multiply
    198,969.75x = 409,603.50 × 409,603.50
  4. Step 4: Simplify right side
    198,969.75x = 167,775,027,212.25
  5. Step 5: Solve for x
    x = 167,775,027,212.25/198,969.75
  6. Step 6: Final answer
    x = 843,218.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.