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Finding the Third Proportional to 20,237 and 30,629

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Solution

The third proportional to 20,237 and 30,629 is: 46,357.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,237 : 30,629 = 30,629 : x
  2. Step 2: Convert to fraction form
    20,237/30,629 = 30,629/x
  3. Step 3: Cross multiply
    20,237x = 30,629 × 30,629
  4. Step 4: Simplify right side
    20,237x = 938,135,641
  5. Step 5: Solve for x
    x = 938,135,641/20,237
  6. Step 6: Final answer
    x = 46,357.45

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.