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Finding the Third Proportional to 405,828 and 865,980

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Solution

The third proportional to 405,828 and 865,980 is: 1,847,879.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,828 : 865,980 = 865,980 : x
  2. Step 2: Convert to fraction form
    405,828/865,980 = 865,980/x
  3. Step 3: Cross multiply
    405,828x = 865,980 × 865,980
  4. Step 4: Simplify right side
    405,828x = 749,921,360,400
  5. Step 5: Solve for x
    x = 749,921,360,400/405,828
  6. Step 6: Final answer
    x = 1,847,879.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.