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Finding the Third Proportional to 13,755 and 21,352.50

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Solution

The third proportional to 13,755 and 21,352.50 is: 33,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,755 : 21,352.50 = 21,352.50 : x
  2. Step 2: Convert to fraction form
    13,755/21,352.50 = 21,352.50/x
  3. Step 3: Cross multiply
    13,755x = 21,352.50 × 21,352.50
  4. Step 4: Simplify right side
    13,755x = 455,929,256.25
  5. Step 5: Solve for x
    x = 455,929,256.25/13,755
  6. Step 6: Final answer
    x = 33,146.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.