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Finding the Third Proportional to 317,556 and 505,494

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Solution

The third proportional to 317,556 and 505,494 is: 804,658.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,556 : 505,494 = 505,494 : x
  2. Step 2: Convert to fraction form
    317,556/505,494 = 505,494/x
  3. Step 3: Cross multiply
    317,556x = 505,494 × 505,494
  4. Step 4: Simplify right side
    317,556x = 255,524,184,036
  5. Step 5: Solve for x
    x = 255,524,184,036/317,556
  6. Step 6: Final answer
    x = 804,658.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.