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Finding the Third Proportional to 66,225 and 99,945

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Solution

The third proportional to 66,225 and 99,945 is: 150,834.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,225 : 99,945 = 99,945 : x
  2. Step 2: Convert to fraction form
    66,225/99,945 = 99,945/x
  3. Step 3: Cross multiply
    66,225x = 99,945 × 99,945
  4. Step 4: Simplify right side
    66,225x = 9,989,003,025
  5. Step 5: Solve for x
    x = 9,989,003,025/66,225
  6. Step 6: Final answer
    x = 150,834.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.