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Finding the Third Proportional to 259,209 and 539,100

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Solution

The third proportional to 259,209 and 539,100 is: 1,121,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,209 : 539,100 = 539,100 : x
  2. Step 2: Convert to fraction form
    259,209/539,100 = 539,100/x
  3. Step 3: Cross multiply
    259,209x = 539,100 × 539,100
  4. Step 4: Simplify right side
    259,209x = 290,628,810,000
  5. Step 5: Solve for x
    x = 290,628,810,000/259,209
  6. Step 6: Final answer
    x = 1,121,214.19

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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.