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Finding the Third Proportional to 10,742.63 and 21,629.53

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Solution

The third proportional to 10,742.63 and 21,629.53 is: 43,549.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742.63 : 21,629.53 = 21,629.53 : x
  2. Step 2: Convert to fraction form
    10,742.63/21,629.53 = 21,629.53/x
  3. Step 3: Cross multiply
    10,742.63x = 21,629.53 × 21,629.53
  4. Step 4: Simplify right side
    10,742.63x = 467,836,622.09
  5. Step 5: Solve for x
    x = 467,836,622.09/10,742.63
  6. Step 6: Final answer
    x = 43,549.56

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.