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Finding the Third Proportional to 11,808 and 25,555.50

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Solution

The third proportional to 11,808 and 25,555.50 is: 55,308.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 25,555.50 = 25,555.50 : x
  2. Step 2: Convert to fraction form
    11,808/25,555.50 = 25,555.50/x
  3. Step 3: Cross multiply
    11,808x = 25,555.50 × 25,555.50
  4. Step 4: Simplify right side
    11,808x = 653,083,580.25
  5. Step 5: Solve for x
    x = 653,083,580.25/11,808
  6. Step 6: Final answer
    x = 55,308.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.