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Finding the Third Proportional to 255,850 and 383,777

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Solution

The third proportional to 255,850 and 383,777 is: 575,668.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,850 : 383,777 = 383,777 : x
  2. Step 2: Convert to fraction form
    255,850/383,777 = 383,777/x
  3. Step 3: Cross multiply
    255,850x = 383,777 × 383,777
  4. Step 4: Simplify right side
    255,850x = 147,284,785,729
  5. Step 5: Solve for x
    x = 147,284,785,729/255,850
  6. Step 6: Final answer
    x = 575,668.50

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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.