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Finding the Third Proportional to 387,779 and 582,078

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Solution

The third proportional to 387,779 and 582,078 is: 873,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,779 : 582,078 = 582,078 : x
  2. Step 2: Convert to fraction form
    387,779/582,078 = 582,078/x
  3. Step 3: Cross multiply
    387,779x = 582,078 × 582,078
  4. Step 4: Simplify right side
    387,779x = 338,814,798,084
  5. Step 5: Solve for x
    x = 338,814,798,084/387,779
  6. Step 6: Final answer
    x = 873,731.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.