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Finding the Third Proportional to 389,860 and 810,368

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Solution

The third proportional to 389,860 and 810,368 is: 1,684,441.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,860 : 810,368 = 810,368 : x
  2. Step 2: Convert to fraction form
    389,860/810,368 = 810,368/x
  3. Step 3: Cross multiply
    389,860x = 810,368 × 810,368
  4. Step 4: Simplify right side
    389,860x = 656,696,295,424
  5. Step 5: Solve for x
    x = 656,696,295,424/389,860
  6. Step 6: Final answer
    x = 1,684,441.33

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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.