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Finding the Third Proportional to 818,578.50 and 1,721,990.25

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Solution

The third proportional to 818,578.50 and 1,721,990.25 is: 3,622,438.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    818,578.50 : 1,721,990.25 = 1,721,990.25 : x
  2. Step 2: Convert to fraction form
    818,578.50/1,721,990.25 = 1,721,990.25/x
  3. Step 3: Cross multiply
    818,578.50x = 1,721,990.25 × 1,721,990.25
  4. Step 4: Simplify right side
    818,578.50x = 2,965,250,421,095.06
  5. Step 5: Solve for x
    x = 2,965,250,421,095.06/818,578.50
  6. Step 6: Final answer
    x = 3,622,438.68

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.