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Finding the Third Proportional to 259,780 and 539,969

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Solution

The third proportional to 259,780 and 539,969 is: 1,122,359.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,780 : 539,969 = 539,969 : x
  2. Step 2: Convert to fraction form
    259,780/539,969 = 539,969/x
  3. Step 3: Cross multiply
    259,780x = 539,969 × 539,969
  4. Step 4: Simplify right side
    259,780x = 291,566,520,961
  5. Step 5: Solve for x
    x = 291,566,520,961/259,780
  6. Step 6: Final answer
    x = 1,122,359.38

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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.