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Finding the Third Proportional to 306,972 and 629,158

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Solution

The third proportional to 306,972 and 629,158 is: 1,289,498.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,972 : 629,158 = 629,158 : x
  2. Step 2: Convert to fraction form
    306,972/629,158 = 629,158/x
  3. Step 3: Cross multiply
    306,972x = 629,158 × 629,158
  4. Step 4: Simplify right side
    306,972x = 395,839,788,964
  5. Step 5: Solve for x
    x = 395,839,788,964/306,972
  6. Step 6: Final answer
    x = 1,289,498.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.