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Finding the Third Proportional to 259,802 and 389,739

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Solution

The third proportional to 259,802 and 389,739 is: 584,662.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,802 : 389,739 = 389,739 : x
  2. Step 2: Convert to fraction form
    259,802/389,739 = 389,739/x
  3. Step 3: Cross multiply
    259,802x = 389,739 × 389,739
  4. Step 4: Simplify right side
    259,802x = 151,896,488,121
  5. Step 5: Solve for x
    x = 151,896,488,121/259,802
  6. Step 6: Final answer
    x = 584,662.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.