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Finding the Third Proportional to 11,916 and 15,669.75

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Solution

The third proportional to 11,916 and 15,669.75 is: 20,606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,916 : 15,669.75 = 15,669.75 : x
  2. Step 2: Convert to fraction form
    11,916/15,669.75 = 15,669.75/x
  3. Step 3: Cross multiply
    11,916x = 15,669.75 × 15,669.75
  4. Step 4: Simplify right side
    11,916x = 245,541,065.06
  5. Step 5: Solve for x
    x = 245,541,065.06/11,916
  6. Step 6: Final answer
    x = 20,606.00

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.