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Finding the Third Proportional to 5,998.50 and 8,780.63

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Solution

The third proportional to 5,998.50 and 8,780.63 is: 12,853.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,998.50 : 8,780.63 = 8,780.63 : x
  2. Step 2: Convert to fraction form
    5,998.50/8,780.63 = 8,780.63/x
  3. Step 3: Cross multiply
    5,998.50x = 8,780.63 × 8,780.63
  4. Step 4: Simplify right side
    5,998.50x = 77,099,375.39
  5. Step 5: Solve for x
    x = 77,099,375.39/5,998.50
  6. Step 6: Final answer
    x = 12,853.11

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.