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Finding the Third Proportional to 269,813 and 395,971

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Solution

The third proportional to 269,813 and 395,971 is: 581,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,813 : 395,971 = 395,971 : x
  2. Step 2: Convert to fraction form
    269,813/395,971 = 395,971/x
  3. Step 3: Cross multiply
    269,813x = 395,971 × 395,971
  4. Step 4: Simplify right side
    269,813x = 156,793,032,841
  5. Step 5: Solve for x
    x = 156,793,032,841/269,813
  6. Step 6: Final answer
    x = 581,117.41

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.