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Finding the Third Proportional to 721,059 and 1,669,219.50

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Solution

The third proportional to 721,059 and 1,669,219.50 is: 3,864,168.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    721,059 : 1,669,219.50 = 1,669,219.50 : x
  2. Step 2: Convert to fraction form
    721,059/1,669,219.50 = 1,669,219.50/x
  3. Step 3: Cross multiply
    721,059x = 1,669,219.50 × 1,669,219.50
  4. Step 4: Simplify right side
    721,059x = 2,786,293,739,180.25
  5. Step 5: Solve for x
    x = 2,786,293,739,180.25/721,059
  6. Step 6: Final answer
    x = 3,864,168.87

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.