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Finding the Third Proportional to 609,771 and 919,152

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Solution

The third proportional to 609,771 and 919,152 is: 1,385,504.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,771 : 919,152 = 919,152 : x
  2. Step 2: Convert to fraction form
    609,771/919,152 = 919,152/x
  3. Step 3: Cross multiply
    609,771x = 919,152 × 919,152
  4. Step 4: Simplify right side
    609,771x = 844,840,399,104
  5. Step 5: Solve for x
    x = 844,840,399,104/609,771
  6. Step 6: Final answer
    x = 1,385,504.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.