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Finding the Third Proportional to 296,550 and 617,676

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Solution

The third proportional to 296,550 and 617,676 is: 1,286,540.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,550 : 617,676 = 617,676 : x
  2. Step 2: Convert to fraction form
    296,550/617,676 = 617,676/x
  3. Step 3: Cross multiply
    296,550x = 617,676 × 617,676
  4. Step 4: Simplify right side
    296,550x = 381,523,640,976
  5. Step 5: Solve for x
    x = 381,523,640,976/296,550
  6. Step 6: Final answer
    x = 1,286,540.69

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.