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Finding the Third Proportional to 66,867 and 145,728.75

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Solution

The third proportional to 66,867 and 145,728.75 is: 317,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,867 : 145,728.75 = 145,728.75 : x
  2. Step 2: Convert to fraction form
    66,867/145,728.75 = 145,728.75/x
  3. Step 3: Cross multiply
    66,867x = 145,728.75 × 145,728.75
  4. Step 4: Simplify right side
    66,867x = 21,236,868,576.56
  5. Step 5: Solve for x
    x = 21,236,868,576.56/66,867
  6. Step 6: Final answer
    x = 317,598.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.