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Finding the Third Proportional to 690,914 and 1,628,629

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Solution

The third proportional to 690,914 and 1,628,629 is: 3,839,019.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,914 : 1,628,629 = 1,628,629 : x
  2. Step 2: Convert to fraction form
    690,914/1,628,629 = 1,628,629/x
  3. Step 3: Cross multiply
    690,914x = 1,628,629 × 1,628,629
  4. Step 4: Simplify right side
    690,914x = 2,652,432,419,641
  5. Step 5: Solve for x
    x = 2,652,432,419,641/690,914
  6. Step 6: Final answer
    x = 3,839,019.65

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.