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Finding the Third Proportional to 441,213 and 621,318

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Solution

The third proportional to 441,213 and 621,318 is: 874,942.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,213 : 621,318 = 621,318 : x
  2. Step 2: Convert to fraction form
    441,213/621,318 = 621,318/x
  3. Step 3: Cross multiply
    441,213x = 621,318 × 621,318
  4. Step 4: Simplify right side
    441,213x = 386,036,057,124
  5. Step 5: Solve for x
    x = 386,036,057,124/441,213
  6. Step 6: Final answer
    x = 874,942.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.