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Finding the Third Proportional to 275,263 and 421,121

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Solution

The third proportional to 275,263 and 421,121 is: 644,267.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,263 : 421,121 = 421,121 : x
  2. Step 2: Convert to fraction form
    275,263/421,121 = 421,121/x
  3. Step 3: Cross multiply
    275,263x = 421,121 × 421,121
  4. Step 4: Simplify right side
    275,263x = 177,342,896,641
  5. Step 5: Solve for x
    x = 177,342,896,641/275,263
  6. Step 6: Final answer
    x = 644,267.11

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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.