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Finding the Third Proportional to 70,421 and 146,647

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Solution

The third proportional to 70,421 and 146,647 is: 305,382.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,421 : 146,647 = 146,647 : x
  2. Step 2: Convert to fraction form
    70,421/146,647 = 146,647/x
  3. Step 3: Cross multiply
    70,421x = 146,647 × 146,647
  4. Step 4: Simplify right side
    70,421x = 21,505,342,609
  5. Step 5: Solve for x
    x = 21,505,342,609/70,421
  6. Step 6: Final answer
    x = 305,382.52

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.