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Finding the Third Proportional to 505,158 and 780,255

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Solution

The third proportional to 505,158 and 780,255 is: 1,205,163.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,158 : 780,255 = 780,255 : x
  2. Step 2: Convert to fraction form
    505,158/780,255 = 780,255/x
  3. Step 3: Cross multiply
    505,158x = 780,255 × 780,255
  4. Step 4: Simplify right side
    505,158x = 608,797,865,025
  5. Step 5: Solve for x
    x = 608,797,865,025/505,158
  6. Step 6: Final answer
    x = 1,205,163.27

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.