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Finding the Third Proportional to 405,923 and 642,723

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Solution

The third proportional to 405,923 and 642,723 is: 1,017,663.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,923 : 642,723 = 642,723 : x
  2. Step 2: Convert to fraction form
    405,923/642,723 = 642,723/x
  3. Step 3: Cross multiply
    405,923x = 642,723 × 642,723
  4. Step 4: Simplify right side
    405,923x = 413,092,854,729
  5. Step 5: Solve for x
    x = 413,092,854,729/405,923
  6. Step 6: Final answer
    x = 1,017,663.09

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.