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Finding the Third Proportional to 259,718 and 389,577

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Solution

The third proportional to 259,718 and 389,577 is: 584,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,718 : 389,577 = 389,577 : x
  2. Step 2: Convert to fraction form
    259,718/389,577 = 389,577/x
  3. Step 3: Cross multiply
    259,718x = 389,577 × 389,577
  4. Step 4: Simplify right side
    259,718x = 151,770,238,929
  5. Step 5: Solve for x
    x = 151,770,238,929/259,718
  6. Step 6: Final answer
    x = 584,365.50

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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.