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Finding the Third Proportional to 268,806 and 395,424

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Solution

The third proportional to 268,806 and 395,424 is: 581,683.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,806 : 395,424 = 395,424 : x
  2. Step 2: Convert to fraction form
    268,806/395,424 = 395,424/x
  3. Step 3: Cross multiply
    268,806x = 395,424 × 395,424
  4. Step 4: Simplify right side
    268,806x = 156,360,139,776
  5. Step 5: Solve for x
    x = 156,360,139,776/268,806
  6. Step 6: Final answer
    x = 581,683.96

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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.