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Finding the Third Proportional to 66,990 and 106,635

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Solution

The third proportional to 66,990 and 106,635 is: 169,742.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,990 : 106,635 = 106,635 : x
  2. Step 2: Convert to fraction form
    66,990/106,635 = 106,635/x
  3. Step 3: Cross multiply
    66,990x = 106,635 × 106,635
  4. Step 4: Simplify right side
    66,990x = 11,371,023,225
  5. Step 5: Solve for x
    x = 11,371,023,225/66,990
  6. Step 6: Final answer
    x = 169,742.10

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.