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Finding the Third Proportional to 30,662 and 62,620

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Solution

The third proportional to 30,662 and 62,620 is: 127,886.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,662 : 62,620 = 62,620 : x
  2. Step 2: Convert to fraction form
    30,662/62,620 = 62,620/x
  3. Step 3: Cross multiply
    30,662x = 62,620 × 62,620
  4. Step 4: Simplify right side
    30,662x = 3,921,264,400
  5. Step 5: Solve for x
    x = 3,921,264,400/30,662
  6. Step 6: Final answer
    x = 127,886.78

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.