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Finding the Third Proportional to 379,214 and 810,916

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Solution

The third proportional to 379,214 and 810,916 is: 1,734,073.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,214 : 810,916 = 810,916 : x
  2. Step 2: Convert to fraction form
    379,214/810,916 = 810,916/x
  3. Step 3: Cross multiply
    379,214x = 810,916 × 810,916
  4. Step 4: Simplify right side
    379,214x = 657,584,759,056
  5. Step 5: Solve for x
    x = 657,584,759,056/379,214
  6. Step 6: Final answer
    x = 1,734,073.00

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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.