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Finding the Third Proportional to 20,627 and 31,453.50

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Solution

The third proportional to 20,627 and 31,453.50 is: 47,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,627 : 31,453.50 = 31,453.50 : x
  2. Step 2: Convert to fraction form
    20,627/31,453.50 = 31,453.50/x
  3. Step 3: Cross multiply
    20,627x = 31,453.50 × 31,453.50
  4. Step 4: Simplify right side
    20,627x = 989,322,662.25
  5. Step 5: Solve for x
    x = 989,322,662.25/20,627
  6. Step 6: Final answer
    x = 47,962.51

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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.