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Finding the Third Proportional to 146,821 and 210,007

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Solution

The third proportional to 146,821 and 210,007 is: 300,385.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,821 : 210,007 = 210,007 : x
  2. Step 2: Convert to fraction form
    146,821/210,007 = 210,007/x
  3. Step 3: Cross multiply
    146,821x = 210,007 × 210,007
  4. Step 4: Simplify right side
    146,821x = 44,102,940,049
  5. Step 5: Solve for x
    x = 44,102,940,049/146,821
  6. Step 6: Final answer
    x = 300,385.78

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.