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Finding the Third Proportional to 225,539 and 490,779

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Solution

The third proportional to 225,539 and 490,779 is: 1,067,948.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,539 : 490,779 = 490,779 : x
  2. Step 2: Convert to fraction form
    225,539/490,779 = 490,779/x
  3. Step 3: Cross multiply
    225,539x = 490,779 × 490,779
  4. Step 4: Simplify right side
    225,539x = 240,864,026,841
  5. Step 5: Solve for x
    x = 240,864,026,841/225,539
  6. Step 6: Final answer
    x = 1,067,948.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.