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Finding the Third Proportional to 269,810 and 395,967

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Solution

The third proportional to 269,810 and 395,967 is: 581,112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,810 : 395,967 = 395,967 : x
  2. Step 2: Convert to fraction form
    269,810/395,967 = 395,967/x
  3. Step 3: Cross multiply
    269,810x = 395,967 × 395,967
  4. Step 4: Simplify right side
    269,810x = 156,789,865,089
  5. Step 5: Solve for x
    x = 156,789,865,089/269,810
  6. Step 6: Final answer
    x = 581,112.13

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