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Finding the Third Proportional to 435,638 and 693,651

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Solution

The third proportional to 435,638 and 693,651 is: 1,104,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,638 : 693,651 = 693,651 : x
  2. Step 2: Convert to fraction form
    435,638/693,651 = 693,651/x
  3. Step 3: Cross multiply
    435,638x = 693,651 × 693,651
  4. Step 4: Simplify right side
    435,638x = 481,151,709,801
  5. Step 5: Solve for x
    x = 481,151,709,801/435,638
  6. Step 6: Final answer
    x = 1,104,475.99

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.