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Finding the Third Proportional to 275,838 and 421,780

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Solution

The third proportional to 275,838 and 421,780 is: 644,937.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,838 : 421,780 = 421,780 : x
  2. Step 2: Convert to fraction form
    275,838/421,780 = 421,780/x
  3. Step 3: Cross multiply
    275,838x = 421,780 × 421,780
  4. Step 4: Simplify right side
    275,838x = 177,898,368,400
  5. Step 5: Solve for x
    x = 177,898,368,400/275,838
  6. Step 6: Final answer
    x = 644,937.86

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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.