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Finding the Third Proportional to 275,826 and 421,659

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Solution

The third proportional to 275,826 and 421,659 is: 644,595.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,826 : 421,659 = 421,659 : x
  2. Step 2: Convert to fraction form
    275,826/421,659 = 421,659/x
  3. Step 3: Cross multiply
    275,826x = 421,659 × 421,659
  4. Step 4: Simplify right side
    275,826x = 177,796,312,281
  5. Step 5: Solve for x
    x = 177,796,312,281/275,826
  6. Step 6: Final answer
    x = 644,595.91

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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.