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Finding the Third Proportional to 311,684 and 441,030

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Solution

The third proportional to 311,684 and 441,030 is: 624,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,684 : 441,030 = 441,030 : x
  2. Step 2: Convert to fraction form
    311,684/441,030 = 441,030/x
  3. Step 3: Cross multiply
    311,684x = 441,030 × 441,030
  4. Step 4: Simplify right side
    311,684x = 194,507,460,900
  5. Step 5: Solve for x
    x = 194,507,460,900/311,684
  6. Step 6: Final answer
    x = 624,053.40

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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.