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Finding the Third Proportional to 280,946 and 617,824

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Solution

The third proportional to 280,946 and 617,824 is: 1,358,647.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,946 : 617,824 = 617,824 : x
  2. Step 2: Convert to fraction form
    280,946/617,824 = 617,824/x
  3. Step 3: Cross multiply
    280,946x = 617,824 × 617,824
  4. Step 4: Simplify right side
    280,946x = 381,706,494,976
  5. Step 5: Solve for x
    x = 381,706,494,976/280,946
  6. Step 6: Final answer
    x = 1,358,647.20

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.