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Finding the Third Proportional to 198,095 and 412,603

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Solution

The third proportional to 198,095 and 412,603 is: 859,391.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,095 : 412,603 = 412,603 : x
  2. Step 2: Convert to fraction form
    198,095/412,603 = 412,603/x
  3. Step 3: Cross multiply
    198,095x = 412,603 × 412,603
  4. Step 4: Simplify right side
    198,095x = 170,241,235,609
  5. Step 5: Solve for x
    x = 170,241,235,609/198,095
  6. Step 6: Final answer
    x = 859,391.89

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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.