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Finding the Third Proportional to 255,414.50 and 383,121.50

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Solution

The third proportional to 255,414.50 and 383,121.50 is: 574,681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,414.50 : 383,121.50 = 383,121.50 : x
  2. Step 2: Convert to fraction form
    255,414.50/383,121.50 = 383,121.50/x
  3. Step 3: Cross multiply
    255,414.50x = 383,121.50 × 383,121.50
  4. Step 4: Simplify right side
    255,414.50x = 146,782,083,762.25
  5. Step 5: Solve for x
    x = 146,782,083,762.25/255,414.50
  6. Step 6: Final answer
    x = 574,681.88

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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.