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Finding the Third Proportional to 7,826.63 and 11,780.44

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Solution

The third proportional to 7,826.63 and 11,780.44 is: 17,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,826.63 : 11,780.44 = 11,780.44 : x
  2. Step 2: Convert to fraction form
    7,826.63/11,780.44 = 11,780.44/x
  3. Step 3: Cross multiply
    7,826.63x = 11,780.44 × 11,780.44
  4. Step 4: Simplify right side
    7,826.63x = 138,778,707.69
  5. Step 5: Solve for x
    x = 138,778,707.69/7,826.63
  6. Step 6: Final answer
    x = 17,731.62

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.