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Finding the Third Proportional to 268,192 and 397,649

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Solution

The third proportional to 268,192 and 397,649 is: 589,595.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,192 : 397,649 = 397,649 : x
  2. Step 2: Convert to fraction form
    268,192/397,649 = 397,649/x
  3. Step 3: Cross multiply
    268,192x = 397,649 × 397,649
  4. Step 4: Simplify right side
    268,192x = 158,124,727,201
  5. Step 5: Solve for x
    x = 158,124,727,201/268,192
  6. Step 6: Final answer
    x = 589,595.24

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.