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Finding the Third Proportional to 30,577 and 62,450

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Solution

The third proportional to 30,577 and 62,450 is: 127,546.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,577 : 62,450 = 62,450 : x
  2. Step 2: Convert to fraction form
    30,577/62,450 = 62,450/x
  3. Step 3: Cross multiply
    30,577x = 62,450 × 62,450
  4. Step 4: Simplify right side
    30,577x = 3,900,002,500
  5. Step 5: Solve for x
    x = 3,900,002,500/30,577
  6. Step 6: Final answer
    x = 127,546.93

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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.