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Finding the Third Proportional to 269,775 and 578,916

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Solution

The third proportional to 269,775 and 578,916 is: 1,242,308.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,775 : 578,916 = 578,916 : x
  2. Step 2: Convert to fraction form
    269,775/578,916 = 578,916/x
  3. Step 3: Cross multiply
    269,775x = 578,916 × 578,916
  4. Step 4: Simplify right side
    269,775x = 335,143,735,056
  5. Step 5: Solve for x
    x = 335,143,735,056/269,775
  6. Step 6: Final answer
    x = 1,242,308.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.