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Finding the Third Proportional to 263,672 and 419,222

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Solution

The third proportional to 263,672 and 419,222 is: 666,536.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,672 : 419,222 = 419,222 : x
  2. Step 2: Convert to fraction form
    263,672/419,222 = 419,222/x
  3. Step 3: Cross multiply
    263,672x = 419,222 × 419,222
  4. Step 4: Simplify right side
    263,672x = 175,747,085,284
  5. Step 5: Solve for x
    x = 175,747,085,284/263,672
  6. Step 6: Final answer
    x = 666,536.78

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.