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Finding the Third Proportional to 379,208 and 810,904

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Solution

The third proportional to 379,208 and 810,904 is: 1,734,049.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,208 : 810,904 = 810,904 : x
  2. Step 2: Convert to fraction form
    379,208/810,904 = 810,904/x
  3. Step 3: Cross multiply
    379,208x = 810,904 × 810,904
  4. Step 4: Simplify right side
    379,208x = 657,565,297,216
  5. Step 5: Solve for x
    x = 657,565,297,216/379,208
  6. Step 6: Final answer
    x = 1,734,049.12

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.