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Finding the Third Proportional to 268,780 and 419,520

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Solution

The third proportional to 268,780 and 419,520 is: 654,799.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,780 : 419,520 = 419,520 : x
  2. Step 2: Convert to fraction form
    268,780/419,520 = 419,520/x
  3. Step 3: Cross multiply
    268,780x = 419,520 × 419,520
  4. Step 4: Simplify right side
    268,780x = 175,997,030,400
  5. Step 5: Solve for x
    x = 175,997,030,400/268,780
  6. Step 6: Final answer
    x = 654,799.58

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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.