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Finding the Third Proportional to 268,968 and 395,664

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Solution

The third proportional to 268,968 and 395,664 is: 582,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,968 : 395,664 = 395,664 : x
  2. Step 2: Convert to fraction form
    268,968/395,664 = 395,664/x
  3. Step 3: Cross multiply
    268,968x = 395,664 × 395,664
  4. Step 4: Simplify right side
    268,968x = 156,550,000,896
  5. Step 5: Solve for x
    x = 156,550,000,896/268,968
  6. Step 6: Final answer
    x = 582,039.50

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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.