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Finding the Third Proportional to 387,816 and 810,766

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Solution

The third proportional to 387,816 and 810,766 is: 1,694,982.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,816 : 810,766 = 810,766 : x
  2. Step 2: Convert to fraction form
    387,816/810,766 = 810,766/x
  3. Step 3: Cross multiply
    387,816x = 810,766 × 810,766
  4. Step 4: Simplify right side
    387,816x = 657,341,506,756
  5. Step 5: Solve for x
    x = 657,341,506,756/387,816
  6. Step 6: Final answer
    x = 1,694,982.95

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.