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Finding the Third Proportional to 401,884 and 859,019

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Solution

The third proportional to 401,884 and 859,019 is: 1,836,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,884 : 859,019 = 859,019 : x
  2. Step 2: Convert to fraction form
    401,884/859,019 = 859,019/x
  3. Step 3: Cross multiply
    401,884x = 859,019 × 859,019
  4. Step 4: Simplify right side
    401,884x = 737,913,642,361
  5. Step 5: Solve for x
    x = 737,913,642,361/401,884
  6. Step 6: Final answer
    x = 1,836,135.91

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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.