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Finding the Third Proportional to 639,745 and 962,215

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Solution

The third proportional to 639,745 and 962,215 is: 1,447,229.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,745 : 962,215 = 962,215 : x
  2. Step 2: Convert to fraction form
    639,745/962,215 = 962,215/x
  3. Step 3: Cross multiply
    639,745x = 962,215 × 962,215
  4. Step 4: Simplify right side
    639,745x = 925,857,706,225
  5. Step 5: Solve for x
    x = 925,857,706,225/639,745
  6. Step 6: Final answer
    x = 1,447,229.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.