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Finding the Third Proportional to 259,712 and 389,568

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Solution

The third proportional to 259,712 and 389,568 is: 584,352

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,712 : 389,568 = 389,568 : x
  2. Step 2: Convert to fraction form
    259,712/389,568 = 389,568/x
  3. Step 3: Cross multiply
    259,712x = 389,568 × 389,568
  4. Step 4: Simplify right side
    259,712x = 151,763,226,624
  5. Step 5: Solve for x
    x = 151,763,226,624/259,712
  6. Step 6: Final answer
    x = 584,352

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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.