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Finding the Third Proportional to 505,440 and 760,212

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Solution

The third proportional to 505,440 and 760,212 is: 1,143,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,440 : 760,212 = 760,212 : x
  2. Step 2: Convert to fraction form
    505,440/760,212 = 760,212/x
  3. Step 3: Cross multiply
    505,440x = 760,212 × 760,212
  4. Step 4: Simplify right side
    505,440x = 577,922,284,944
  5. Step 5: Solve for x
    x = 577,922,284,944/505,440
  6. Step 6: Final answer
    x = 1,143,404.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.