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Finding the Third Proportional to 280,482.75 and 383,203.41

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Solution

The third proportional to 280,482.75 and 383,203.41 is: 523,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,482.75 : 383,203.41 = 383,203.41 : x
  2. Step 2: Convert to fraction form
    280,482.75/383,203.41 = 383,203.41/x
  3. Step 3: Cross multiply
    280,482.75x = 383,203.41 × 383,203.41
  4. Step 4: Simplify right side
    280,482.75x = 146,844,850,561.60
  5. Step 5: Solve for x
    x = 146,844,850,561.60/280,482.75
  6. Step 6: Final answer
    x = 523,543.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.