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Finding the Third Proportional to 9,396.50 and 12,576

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Solution

The third proportional to 9,396.50 and 12,576 is: 16,831.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.50 : 12,576 = 12,576 : x
  2. Step 2: Convert to fraction form
    9,396.50/12,576 = 12,576/x
  3. Step 3: Cross multiply
    9,396.50x = 12,576 × 12,576
  4. Step 4: Simplify right side
    9,396.50x = 158,155,776
  5. Step 5: Solve for x
    x = 158,155,776/9,396.50
  6. Step 6: Final answer
    x = 16,831.35

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.