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Finding the Third Proportional to 633,930 and 863,415

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Solution

The third proportional to 633,930 and 863,415 is: 1,175,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,930 : 863,415 = 863,415 : x
  2. Step 2: Convert to fraction form
    633,930/863,415 = 863,415/x
  3. Step 3: Cross multiply
    633,930x = 863,415 × 863,415
  4. Step 4: Simplify right side
    633,930x = 745,485,462,225
  5. Step 5: Solve for x
    x = 745,485,462,225/633,930
  6. Step 6: Final answer
    x = 1,175,974.42

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.