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Finding the Third Proportional to 281,819 and 624,402

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Solution

The third proportional to 281,819 and 624,402 is: 1,383,433.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,819 : 624,402 = 624,402 : x
  2. Step 2: Convert to fraction form
    281,819/624,402 = 624,402/x
  3. Step 3: Cross multiply
    281,819x = 624,402 × 624,402
  4. Step 4: Simplify right side
    281,819x = 389,877,857,604
  5. Step 5: Solve for x
    x = 389,877,857,604/281,819
  6. Step 6: Final answer
    x = 1,383,433.54

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.