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Finding the Third Proportional to 727,638 and 1,582,689

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Solution

The third proportional to 727,638 and 1,582,689 is: 3,442,514.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,638 : 1,582,689 = 1,582,689 : x
  2. Step 2: Convert to fraction form
    727,638/1,582,689 = 1,582,689/x
  3. Step 3: Cross multiply
    727,638x = 1,582,689 × 1,582,689
  4. Step 4: Simplify right side
    727,638x = 2,504,904,470,721
  5. Step 5: Solve for x
    x = 2,504,904,470,721/727,638
  6. Step 6: Final answer
    x = 3,442,514.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.