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Finding the Third Proportional to 259,216 and 539,129

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Solution

The third proportional to 259,216 and 539,129 is: 1,121,304.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,216 : 539,129 = 539,129 : x
  2. Step 2: Convert to fraction form
    259,216/539,129 = 539,129/x
  3. Step 3: Cross multiply
    259,216x = 539,129 × 539,129
  4. Step 4: Simplify right side
    259,216x = 290,660,078,641
  5. Step 5: Solve for x
    x = 290,660,078,641/259,216
  6. Step 6: Final answer
    x = 1,121,304.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.