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Finding the Third Proportional to 7,779.38 and 11,957.44

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Solution

The third proportional to 7,779.38 and 11,957.44 is: 18,379.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,779.38 : 11,957.44 = 11,957.44 : x
  2. Step 2: Convert to fraction form
    7,779.38/11,957.44 = 11,957.44/x
  3. Step 3: Cross multiply
    7,779.38x = 11,957.44 × 11,957.44
  4. Step 4: Simplify right side
    7,779.38x = 142,980,311.57
  5. Step 5: Solve for x
    x = 142,980,311.57/7,779.38
  6. Step 6: Final answer
    x = 18,379.41

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.