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Finding the Third Proportional to 255,678 and 383,355

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Solution

The third proportional to 255,678 and 383,355 is: 574,789.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,678 : 383,355 = 383,355 : x
  2. Step 2: Convert to fraction form
    255,678/383,355 = 383,355/x
  3. Step 3: Cross multiply
    255,678x = 383,355 × 383,355
  4. Step 4: Simplify right side
    255,678x = 146,961,056,025
  5. Step 5: Solve for x
    x = 146,961,056,025/255,678
  6. Step 6: Final answer
    x = 574,789.60

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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.