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Finding the Third Proportional to 30,811 and 63,083

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Solution

The third proportional to 30,811 and 63,083 is: 129,157.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,811 : 63,083 = 63,083 : x
  2. Step 2: Convert to fraction form
    30,811/63,083 = 63,083/x
  3. Step 3: Cross multiply
    30,811x = 63,083 × 63,083
  4. Step 4: Simplify right side
    30,811x = 3,979,464,889
  5. Step 5: Solve for x
    x = 3,979,464,889/30,811
  6. Step 6: Final answer
    x = 129,157.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.