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Finding the Third Proportional to 379,898.06 and 810,643.69

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Solution

The third proportional to 379,898.06 and 810,643.69 is: 1,729,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,898.06 : 810,643.69 = 810,643.69 : x
  2. Step 2: Convert to fraction form
    379,898.06/810,643.69 = 810,643.69/x
  3. Step 3: Cross multiply
    379,898.06x = 810,643.69 × 810,643.69
  4. Step 4: Simplify right side
    379,898.06x = 657,143,188,083.60
  5. Step 5: Solve for x
    x = 657,143,188,083.60/379,898.06
  6. Step 6: Final answer
    x = 1,729,788.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.