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Finding the Third Proportional to 12,289.50 and 18,534.94

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Solution

The third proportional to 12,289.50 and 18,534.94 is: 27,954.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.50 : 18,534.94 = 18,534.94 : x
  2. Step 2: Convert to fraction form
    12,289.50/18,534.94 = 18,534.94/x
  3. Step 3: Cross multiply
    12,289.50x = 18,534.94 × 18,534.94
  4. Step 4: Simplify right side
    12,289.50x = 343,543,908.13
  5. Step 5: Solve for x
    x = 343,543,908.13/12,289.50
  6. Step 6: Final answer
    x = 27,954.26

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.