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Finding the Third Proportional to 436,783 and 678,503

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Solution

The third proportional to 436,783 and 678,503 is: 1,053,993.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,783 : 678,503 = 678,503 : x
  2. Step 2: Convert to fraction form
    436,783/678,503 = 678,503/x
  3. Step 3: Cross multiply
    436,783x = 678,503 × 678,503
  4. Step 4: Simplify right side
    436,783x = 460,366,321,009
  5. Step 5: Solve for x
    x = 460,366,321,009/436,783
  6. Step 6: Final answer
    x = 1,053,993.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.