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Finding the Third Proportional to 275,875 and 421,831

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Solution

The third proportional to 275,875 and 421,831 is: 645,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,875 : 421,831 = 421,831 : x
  2. Step 2: Convert to fraction form
    275,875/421,831 = 421,831/x
  3. Step 3: Cross multiply
    275,875x = 421,831 × 421,831
  4. Step 4: Simplify right side
    275,875x = 177,941,392,561
  5. Step 5: Solve for x
    x = 177,941,392,561/275,875
  6. Step 6: Final answer
    x = 645,007.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.