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Finding the Third Proportional to 767,704.50 and 1,680,561

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Solution

The third proportional to 767,704.50 and 1,680,561 is: 3,678,870.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,704.50 : 1,680,561 = 1,680,561 : x
  2. Step 2: Convert to fraction form
    767,704.50/1,680,561 = 1,680,561/x
  3. Step 3: Cross multiply
    767,704.50x = 1,680,561 × 1,680,561
  4. Step 4: Simplify right side
    767,704.50x = 2,824,285,274,721
  5. Step 5: Solve for x
    x = 2,824,285,274,721/767,704.50
  6. Step 6: Final answer
    x = 3,678,870.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.