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Finding the Third Proportional to 215,779 and 478,719

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Solution

The third proportional to 215,779 and 478,719 is: 1,062,067.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,779 : 478,719 = 478,719 : x
  2. Step 2: Convert to fraction form
    215,779/478,719 = 478,719/x
  3. Step 3: Cross multiply
    215,779x = 478,719 × 478,719
  4. Step 4: Simplify right side
    215,779x = 229,171,880,961
  5. Step 5: Solve for x
    x = 229,171,880,961/215,779
  6. Step 6: Final answer
    x = 1,062,067.58

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.