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Finding the Third Proportional to 20,629 and 30,988

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Solution

The third proportional to 20,629 and 30,988 is: 46,548.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,629 : 30,988 = 30,988 : x
  2. Step 2: Convert to fraction form
    20,629/30,988 = 30,988/x
  3. Step 3: Cross multiply
    20,629x = 30,988 × 30,988
  4. Step 4: Simplify right side
    20,629x = 960,256,144
  5. Step 5: Solve for x
    x = 960,256,144/20,629
  6. Step 6: Final answer
    x = 46,548.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.