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Finding the Third Proportional to 617,963 and 827,680

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Solution

The third proportional to 617,963 and 827,680 is: 1,108,568.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,963 : 827,680 = 827,680 : x
  2. Step 2: Convert to fraction form
    617,963/827,680 = 827,680/x
  3. Step 3: Cross multiply
    617,963x = 827,680 × 827,680
  4. Step 4: Simplify right side
    617,963x = 685,054,182,400
  5. Step 5: Solve for x
    x = 685,054,182,400/617,963
  6. Step 6: Final answer
    x = 1,108,568.28

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.