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Finding the Third Proportional to 268,724 and 419,425

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Solution

The third proportional to 268,724 and 419,425 is: 654,639.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,724 : 419,425 = 419,425 : x
  2. Step 2: Convert to fraction form
    268,724/419,425 = 419,425/x
  3. Step 3: Cross multiply
    268,724x = 419,425 × 419,425
  4. Step 4: Simplify right side
    268,724x = 175,917,330,625
  5. Step 5: Solve for x
    x = 175,917,330,625/268,724
  6. Step 6: Final answer
    x = 654,639.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.