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Finding the Third Proportional to 421,786 and 905,905

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Solution

The third proportional to 421,786 and 905,905 is: 1,945,687.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,786 : 905,905 = 905,905 : x
  2. Step 2: Convert to fraction form
    421,786/905,905 = 905,905/x
  3. Step 3: Cross multiply
    421,786x = 905,905 × 905,905
  4. Step 4: Simplify right side
    421,786x = 820,663,869,025
  5. Step 5: Solve for x
    x = 820,663,869,025/421,786
  6. Step 6: Final answer
    x = 1,945,687.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.