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Finding the Third Proportional to 30,821 and 63,102

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Solution

The third proportional to 30,821 and 63,102 is: 129,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,821 : 63,102 = 63,102 : x
  2. Step 2: Convert to fraction form
    30,821/63,102 = 63,102/x
  3. Step 3: Cross multiply
    30,821x = 63,102 × 63,102
  4. Step 4: Simplify right side
    30,821x = 3,981,862,404
  5. Step 5: Solve for x
    x = 3,981,862,404/30,821
  6. Step 6: Final answer
    x = 129,193.16

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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.