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Finding the Third Proportional to 260,424 and 405,861

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Solution

The third proportional to 260,424 and 405,861 is: 632,519.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,424 : 405,861 = 405,861 : x
  2. Step 2: Convert to fraction form
    260,424/405,861 = 405,861/x
  3. Step 3: Cross multiply
    260,424x = 405,861 × 405,861
  4. Step 4: Simplify right side
    260,424x = 164,723,151,321
  5. Step 5: Solve for x
    x = 164,723,151,321/260,424
  6. Step 6: Final answer
    x = 632,519.09

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.