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Finding the Third Proportional to 3,840.06 and 7,389.67

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Solution

The third proportional to 3,840.06 and 7,389.67 is: 14,220.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.06 : 7,389.67 = 7,389.67 : x
  2. Step 2: Convert to fraction form
    3,840.06/7,389.67 = 7,389.67/x
  3. Step 3: Cross multiply
    3,840.06x = 7,389.67 × 7,389.67
  4. Step 4: Simplify right side
    3,840.06x = 54,607,192.69
  5. Step 5: Solve for x
    x = 54,607,192.69/3,840.06
  6. Step 6: Final answer
    x = 14,220.38

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.