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Finding the Third Proportional to 6,491.71 and 10,168.98

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Solution

The third proportional to 6,491.71 and 10,168.98 is: 15,929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.71 : 10,168.98 = 10,168.98 : x
  2. Step 2: Convert to fraction form
    6,491.71/10,168.98 = 10,168.98/x
  3. Step 3: Cross multiply
    6,491.71x = 10,168.98 × 10,168.98
  4. Step 4: Simplify right side
    6,491.71x = 103,408,163.77
  5. Step 5: Solve for x
    x = 103,408,163.77/6,491.71
  6. Step 6: Final answer
    x = 15,929.27

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.