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Finding the Third Proportional to 30,131 and 62,651

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Solution

The third proportional to 30,131 and 62,651 is: 130,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,131 : 62,651 = 62,651 : x
  2. Step 2: Convert to fraction form
    30,131/62,651 = 62,651/x
  3. Step 3: Cross multiply
    30,131x = 62,651 × 62,651
  4. Step 4: Simplify right side
    30,131x = 3,925,147,801
  5. Step 5: Solve for x
    x = 3,925,147,801/30,131
  6. Step 6: Final answer
    x = 130,269.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.