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Finding the Third Proportional to 609,902.31 and 1,288,467.32

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Solution

The third proportional to 609,902.31 and 1,288,467.32 is: 2,721,990.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,902.31 : 1,288,467.32 = 1,288,467.32 : x
  2. Step 2: Convert to fraction form
    609,902.31/1,288,467.32 = 1,288,467.32/x
  3. Step 3: Cross multiply
    609,902.31x = 1,288,467.32 × 1,288,467.32
  4. Step 4: Simplify right side
    609,902.31x = 1,660,148,025,446.99
  5. Step 5: Solve for x
    x = 1,660,148,025,446.99/609,902.31
  6. Step 6: Final answer
    x = 2,721,990.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.