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Finding the Third Proportional to 66,719 and 146,559.50

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Solution

The third proportional to 66,719 and 146,559.50 is: 321,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,719 : 146,559.50 = 146,559.50 : x
  2. Step 2: Convert to fraction form
    66,719/146,559.50 = 146,559.50/x
  3. Step 3: Cross multiply
    66,719x = 146,559.50 × 146,559.50
  4. Step 4: Simplify right side
    66,719x = 21,479,687,040.25
  5. Step 5: Solve for x
    x = 21,479,687,040.25/66,719
  6. Step 6: Final answer
    x = 321,942.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.