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Finding the Third Proportional to 609,786 and 905,829

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Solution

The third proportional to 609,786 and 905,829 is: 1,345,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,786 : 905,829 = 905,829 : x
  2. Step 2: Convert to fraction form
    609,786/905,829 = 905,829/x
  3. Step 3: Cross multiply
    609,786x = 905,829 × 905,829
  4. Step 4: Simplify right side
    609,786x = 820,526,177,241
  5. Step 5: Solve for x
    x = 820,526,177,241/609,786
  6. Step 6: Final answer
    x = 1,345,596.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.