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Finding the Third Proportional to 401,696 and 873,400

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Solution

The third proportional to 401,696 and 873,400 is: 1,899,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,696 : 873,400 = 873,400 : x
  2. Step 2: Convert to fraction form
    401,696/873,400 = 873,400/x
  3. Step 3: Cross multiply
    401,696x = 873,400 × 873,400
  4. Step 4: Simplify right side
    401,696x = 762,827,560,000
  5. Step 5: Solve for x
    x = 762,827,560,000/401,696
  6. Step 6: Final answer
    x = 1,899,017.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.