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Finding the Third Proportional to 30,512 and 62,908

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Solution

The third proportional to 30,512 and 62,908 is: 129,700.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,512 : 62,908 = 62,908 : x
  2. Step 2: Convert to fraction form
    30,512/62,908 = 62,908/x
  3. Step 3: Cross multiply
    30,512x = 62,908 × 62,908
  4. Step 4: Simplify right side
    30,512x = 3,957,416,464
  5. Step 5: Solve for x
    x = 3,957,416,464/30,512
  6. Step 6: Final answer
    x = 129,700.33

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.