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Finding the Third Proportional to 455,444 and 723,867

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Solution

The third proportional to 455,444 and 723,867 is: 1,150,489.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,444 : 723,867 = 723,867 : x
  2. Step 2: Convert to fraction form
    455,444/723,867 = 723,867/x
  3. Step 3: Cross multiply
    455,444x = 723,867 × 723,867
  4. Step 4: Simplify right side
    455,444x = 523,983,433,689
  5. Step 5: Solve for x
    x = 523,983,433,689/455,444
  6. Step 6: Final answer
    x = 1,150,489.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.