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Finding the Third Proportional to 298,821 and 647,421

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Solution

The third proportional to 298,821 and 647,421 is: 1,402,692.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,821 : 647,421 = 647,421 : x
  2. Step 2: Convert to fraction form
    298,821/647,421 = 647,421/x
  3. Step 3: Cross multiply
    298,821x = 647,421 × 647,421
  4. Step 4: Simplify right side
    298,821x = 419,153,951,241
  5. Step 5: Solve for x
    x = 419,153,951,241/298,821
  6. Step 6: Final answer
    x = 1,402,692.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.