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Finding the Third Proportional to 260,404 and 393,407

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Solution

The third proportional to 260,404 and 393,407 is: 594,342.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,404 : 393,407 = 393,407 : x
  2. Step 2: Convert to fraction form
    260,404/393,407 = 393,407/x
  3. Step 3: Cross multiply
    260,404x = 393,407 × 393,407
  4. Step 4: Simplify right side
    260,404x = 154,769,067,649
  5. Step 5: Solve for x
    x = 154,769,067,649/260,404
  6. Step 6: Final answer
    x = 594,342.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.