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Finding the Third Proportional to 140,835 and 305,958

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Solution

The third proportional to 140,835 and 305,958 is: 664,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,835 : 305,958 = 305,958 : x
  2. Step 2: Convert to fraction form
    140,835/305,958 = 305,958/x
  3. Step 3: Cross multiply
    140,835x = 305,958 × 305,958
  4. Step 4: Simplify right side
    140,835x = 93,610,297,764
  5. Step 5: Solve for x
    x = 93,610,297,764/140,835
  6. Step 6: Final answer
    x = 664,680.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.