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Finding the Third Proportional to 5,958 and 9,726.75

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Solution

The third proportional to 5,958 and 9,726.75 is: 15,879.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958 : 9,726.75 = 9,726.75 : x
  2. Step 2: Convert to fraction form
    5,958/9,726.75 = 9,726.75/x
  3. Step 3: Cross multiply
    5,958x = 9,726.75 × 9,726.75
  4. Step 4: Simplify right side
    5,958x = 94,609,665.56
  5. Step 5: Solve for x
    x = 94,609,665.56/5,958
  6. Step 6: Final answer
    x = 15,879.43

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.