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Finding the Third Proportional to 66,825 and 99,910

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Solution

The third proportional to 66,825 and 99,910 is: 149,375.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,825 : 99,910 = 99,910 : x
  2. Step 2: Convert to fraction form
    66,825/99,910 = 99,910/x
  3. Step 3: Cross multiply
    66,825x = 99,910 × 99,910
  4. Step 4: Simplify right side
    66,825x = 9,982,008,100
  5. Step 5: Solve for x
    x = 9,982,008,100/66,825
  6. Step 6: Final answer
    x = 149,375.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.