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Finding the Third Proportional to 401,299 and 835,813

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Solution

The third proportional to 401,299 and 835,813 is: 1,740,805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,299 : 835,813 = 835,813 : x
  2. Step 2: Convert to fraction form
    401,299/835,813 = 835,813/x
  3. Step 3: Cross multiply
    401,299x = 835,813 × 835,813
  4. Step 4: Simplify right side
    401,299x = 698,583,370,969
  5. Step 5: Solve for x
    x = 698,583,370,969/401,299
  6. Step 6: Final answer
    x = 1,740,805.16

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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.