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Finding the Third Proportional to 434,079 and 672,057

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Solution

The third proportional to 434,079 and 672,057 is: 1,040,503.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,079 : 672,057 = 672,057 : x
  2. Step 2: Convert to fraction form
    434,079/672,057 = 672,057/x
  3. Step 3: Cross multiply
    434,079x = 672,057 × 672,057
  4. Step 4: Simplify right side
    434,079x = 451,660,611,249
  5. Step 5: Solve for x
    x = 451,660,611,249/434,079
  6. Step 6: Final answer
    x = 1,040,503.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.