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Finding the Third Proportional to 198,103.50 and 412,623

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Solution

The third proportional to 198,103.50 and 412,623 is: 859,438.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,103.50 : 412,623 = 412,623 : x
  2. Step 2: Convert to fraction form
    198,103.50/412,623 = 412,623/x
  3. Step 3: Cross multiply
    198,103.50x = 412,623 × 412,623
  4. Step 4: Simplify right side
    198,103.50x = 170,257,740,129
  5. Step 5: Solve for x
    x = 170,257,740,129/198,103.50
  6. Step 6: Final answer
    x = 859,438.32

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.