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Finding the Third Proportional to 7,840.55 and 11,943.07

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Solution

The third proportional to 7,840.55 and 11,943.07 is: 18,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,840.55 : 11,943.07 = 11,943.07 : x
  2. Step 2: Convert to fraction form
    7,840.55/11,943.07 = 11,943.07/x
  3. Step 3: Cross multiply
    7,840.55x = 11,943.07 × 11,943.07
  4. Step 4: Simplify right side
    7,840.55x = 142,636,928.49
  5. Step 5: Solve for x
    x = 142,636,928.49/7,840.55
  6. Step 6: Final answer
    x = 18,192.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.