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Finding the Third Proportional to 280,153.50 and 419,240.25

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Solution

The third proportional to 280,153.50 and 419,240.25 is: 627,378.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,153.50 : 419,240.25 = 419,240.25 : x
  2. Step 2: Convert to fraction form
    280,153.50/419,240.25 = 419,240.25/x
  3. Step 3: Cross multiply
    280,153.50x = 419,240.25 × 419,240.25
  4. Step 4: Simplify right side
    280,153.50x = 175,762,387,220.06
  5. Step 5: Solve for x
    x = 175,762,387,220.06/280,153.50
  6. Step 6: Final answer
    x = 627,378.87

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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.