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Finding the Third Proportional to 259,779 and 539,967

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Solution

The third proportional to 259,779 and 539,967 is: 1,122,355.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,779 : 539,967 = 539,967 : x
  2. Step 2: Convert to fraction form
    259,779/539,967 = 539,967/x
  3. Step 3: Cross multiply
    259,779x = 539,967 × 539,967
  4. Step 4: Simplify right side
    259,779x = 291,564,361,089
  5. Step 5: Solve for x
    x = 291,564,361,089/259,779
  6. Step 6: Final answer
    x = 1,122,355.39

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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.