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Finding the Third Proportional to 259,743 and 414,939

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Solution

The third proportional to 259,743 and 414,939 is: 662,864.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,743 : 414,939 = 414,939 : x
  2. Step 2: Convert to fraction form
    259,743/414,939 = 414,939/x
  3. Step 3: Cross multiply
    259,743x = 414,939 × 414,939
  4. Step 4: Simplify right side
    259,743x = 172,174,373,721
  5. Step 5: Solve for x
    x = 172,174,373,721/259,743
  6. Step 6: Final answer
    x = 662,864.35

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.