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Finding the Third Proportional to 609,770 and 919,151

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Solution

The third proportional to 609,770 and 919,151 is: 1,385,503.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,770 : 919,151 = 919,151 : x
  2. Step 2: Convert to fraction form
    609,770/919,151 = 919,151/x
  3. Step 3: Cross multiply
    609,770x = 919,151 × 919,151
  4. Step 4: Simplify right side
    609,770x = 844,838,560,801
  5. Step 5: Solve for x
    x = 844,838,560,801/609,770
  6. Step 6: Final answer
    x = 1,385,503.65

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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.