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Finding the Third Proportional to 318,833 and 673,654

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Solution

The third proportional to 318,833 and 673,654 is: 1,423,346.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,833 : 673,654 = 673,654 : x
  2. Step 2: Convert to fraction form
    318,833/673,654 = 673,654/x
  3. Step 3: Cross multiply
    318,833x = 673,654 × 673,654
  4. Step 4: Simplify right side
    318,833x = 453,809,711,716
  5. Step 5: Solve for x
    x = 453,809,711,716/318,833
  6. Step 6: Final answer
    x = 1,423,346.11

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.