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Finding the Third Proportional to 353,638 and 723,617

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Solution

The third proportional to 353,638 and 723,617 is: 1,480,671.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,638 : 723,617 = 723,617 : x
  2. Step 2: Convert to fraction form
    353,638/723,617 = 723,617/x
  3. Step 3: Cross multiply
    353,638x = 723,617 × 723,617
  4. Step 4: Simplify right side
    353,638x = 523,621,562,689
  5. Step 5: Solve for x
    x = 523,621,562,689/353,638
  6. Step 6: Final answer
    x = 1,480,671.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.