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Finding the Third Proportional to 155,823 and 331,086

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Solution

The third proportional to 155,823 and 331,086 is: 703,477.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,823 : 331,086 = 331,086 : x
  2. Step 2: Convert to fraction form
    155,823/331,086 = 331,086/x
  3. Step 3: Cross multiply
    155,823x = 331,086 × 331,086
  4. Step 4: Simplify right side
    155,823x = 109,617,939,396
  5. Step 5: Solve for x
    x = 109,617,939,396/155,823
  6. Step 6: Final answer
    x = 703,477.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.