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Finding the Third Proportional to 255,811 and 383,717

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Solution

The third proportional to 255,811 and 383,717 is: 575,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,811 : 383,717 = 383,717 : x
  2. Step 2: Convert to fraction form
    255,811/383,717 = 383,717/x
  3. Step 3: Cross multiply
    255,811x = 383,717 × 383,717
  4. Step 4: Simplify right side
    255,811x = 147,238,736,089
  5. Step 5: Solve for x
    x = 147,238,736,089/255,811
  6. Step 6: Final answer
    x = 575,576.25

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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.