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Finding the Third Proportional to 387,815 and 810,764

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Solution

The third proportional to 387,815 and 810,764 is: 1,694,978.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,815 : 810,764 = 810,764 : x
  2. Step 2: Convert to fraction form
    387,815/810,764 = 810,764/x
  3. Step 3: Cross multiply
    387,815x = 810,764 × 810,764
  4. Step 4: Simplify right side
    387,815x = 657,338,263,696
  5. Step 5: Solve for x
    x = 657,338,263,696/387,815
  6. Step 6: Final answer
    x = 1,694,978.96

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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.