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Finding the Third Proportional to 268,677 and 419,357.25

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Solution

The third proportional to 268,677 and 419,357.25 is: 654,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,677 : 419,357.25 = 419,357.25 : x
  2. Step 2: Convert to fraction form
    268,677/419,357.25 = 419,357.25/x
  3. Step 3: Cross multiply
    268,677x = 419,357.25 × 419,357.25
  4. Step 4: Simplify right side
    268,677x = 175,860,503,127.56
  5. Step 5: Solve for x
    x = 175,860,503,127.56/268,677
  6. Step 6: Final answer
    x = 654,542.45

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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.