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Finding the Third Proportional to 386,240 and 818,848

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Solution

The third proportional to 386,240 and 818,848 is: 1,735,998.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,240 : 818,848 = 818,848 : x
  2. Step 2: Convert to fraction form
    386,240/818,848 = 818,848/x
  3. Step 3: Cross multiply
    386,240x = 818,848 × 818,848
  4. Step 4: Simplify right side
    386,240x = 670,512,047,104
  5. Step 5: Solve for x
    x = 670,512,047,104/386,240
  6. Step 6: Final answer
    x = 1,735,998.46

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.