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Finding the Third Proportional to 7,698.38 and 11,779.88

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Solution

The third proportional to 7,698.38 and 11,779.88 is: 18,025.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.38 : 11,779.88 = 11,779.88 : x
  2. Step 2: Convert to fraction form
    7,698.38/11,779.88 = 11,779.88/x
  3. Step 3: Cross multiply
    7,698.38x = 11,779.88 × 11,779.88
  4. Step 4: Simplify right side
    7,698.38x = 138,765,455.02
  5. Step 5: Solve for x
    x = 138,765,455.02/7,698.38
  6. Step 6: Final answer
    x = 18,025.29

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.