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Finding the Third Proportional to 298,963 and 645,122

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Solution

The third proportional to 298,963 and 645,122 is: 1,392,086.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,963 : 645,122 = 645,122 : x
  2. Step 2: Convert to fraction form
    298,963/645,122 = 645,122/x
  3. Step 3: Cross multiply
    298,963x = 645,122 × 645,122
  4. Step 4: Simplify right side
    298,963x = 416,182,394,884
  5. Step 5: Solve for x
    x = 416,182,394,884/298,963
  6. Step 6: Final answer
    x = 1,392,086.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.