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Finding the Third Proportional to 66,556 and 99,606

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Solution

The third proportional to 66,556 and 99,606 is: 149,067.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,556 : 99,606 = 99,606 : x
  2. Step 2: Convert to fraction form
    66,556/99,606 = 99,606/x
  3. Step 3: Cross multiply
    66,556x = 99,606 × 99,606
  4. Step 4: Simplify right side
    66,556x = 9,921,355,236
  5. Step 5: Solve for x
    x = 9,921,355,236/66,556
  6. Step 6: Final answer
    x = 149,067.78

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Why These Related Problems?

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