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Finding the Third Proportional to 458,867 and 738,739

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Solution

The third proportional to 458,867 and 738,739 is: 1,189,310.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,867 : 738,739 = 738,739 : x
  2. Step 2: Convert to fraction form
    458,867/738,739 = 738,739/x
  3. Step 3: Cross multiply
    458,867x = 738,739 × 738,739
  4. Step 4: Simplify right side
    458,867x = 545,735,310,121
  5. Step 5: Solve for x
    x = 545,735,310,121/458,867
  6. Step 6: Final answer
    x = 1,189,310.43

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.