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Finding the Third Proportional to 199,779.75 and 281,029.50

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Solution

The third proportional to 199,779.75 and 281,029.50 is: 395,323.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,779.75 : 281,029.50 = 281,029.50 : x
  2. Step 2: Convert to fraction form
    199,779.75/281,029.50 = 281,029.50/x
  3. Step 3: Cross multiply
    199,779.75x = 281,029.50 × 281,029.50
  4. Step 4: Simplify right side
    199,779.75x = 78,977,579,870.25
  5. Step 5: Solve for x
    x = 78,977,579,870.25/199,779.75
  6. Step 6: Final answer
    x = 395,323.25

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.