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Finding the Third Proportional to 30,990 and 67,911

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Solution

The third proportional to 30,990 and 67,911 is: 148,819.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,990 : 67,911 = 67,911 : x
  2. Step 2: Convert to fraction form
    30,990/67,911 = 67,911/x
  3. Step 3: Cross multiply
    30,990x = 67,911 × 67,911
  4. Step 4: Simplify right side
    30,990x = 4,611,903,921
  5. Step 5: Solve for x
    x = 4,611,903,921/30,990
  6. Step 6: Final answer
    x = 148,819.10

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.