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Finding the Third Proportional to 280,350 and 419,363

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Solution

The third proportional to 280,350 and 419,363 is: 627,306.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,350 : 419,363 = 419,363 : x
  2. Step 2: Convert to fraction form
    280,350/419,363 = 419,363/x
  3. Step 3: Cross multiply
    280,350x = 419,363 × 419,363
  4. Step 4: Simplify right side
    280,350x = 175,865,325,769
  5. Step 5: Solve for x
    x = 175,865,325,769/280,350
  6. Step 6: Final answer
    x = 627,306.32

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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.