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Finding the Third Proportional to 5,802 and 10,115.44

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Solution

The third proportional to 5,802 and 10,115.44 is: 17,635.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,802 : 10,115.44 = 10,115.44 : x
  2. Step 2: Convert to fraction form
    5,802/10,115.44 = 10,115.44/x
  3. Step 3: Cross multiply
    5,802x = 10,115.44 × 10,115.44
  4. Step 4: Simplify right side
    5,802x = 102,322,075.82
  5. Step 5: Solve for x
    x = 102,322,075.82/5,802
  6. Step 6: Final answer
    x = 17,635.66

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Why These Related Problems?

These problems maintain the same ratio (1.74) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.