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Finding the Third Proportional to 275,713 and 439,813

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Solution

The third proportional to 275,713 and 439,813 is: 701,582.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,713 : 439,813 = 439,813 : x
  2. Step 2: Convert to fraction form
    275,713/439,813 = 439,813/x
  3. Step 3: Cross multiply
    275,713x = 439,813 × 439,813
  4. Step 4: Simplify right side
    275,713x = 193,435,474,969
  5. Step 5: Solve for x
    x = 193,435,474,969/275,713
  6. Step 6: Final answer
    x = 701,582.71

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.