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Finding the Third Proportional to 354,634 and 769,551

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Solution

The third proportional to 354,634 and 769,551 is: 1,669,915.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,634 : 769,551 = 769,551 : x
  2. Step 2: Convert to fraction form
    354,634/769,551 = 769,551/x
  3. Step 3: Cross multiply
    354,634x = 769,551 × 769,551
  4. Step 4: Simplify right side
    354,634x = 592,208,741,601
  5. Step 5: Solve for x
    x = 592,208,741,601/354,634
  6. Step 6: Final answer
    x = 1,669,915.30

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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.