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Finding the Third Proportional to 56,779 and 122,963

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Solution

The third proportional to 56,779 and 122,963 is: 266,293.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,779 : 122,963 = 122,963 : x
  2. Step 2: Convert to fraction form
    56,779/122,963 = 122,963/x
  3. Step 3: Cross multiply
    56,779x = 122,963 × 122,963
  4. Step 4: Simplify right side
    56,779x = 15,119,899,369
  5. Step 5: Solve for x
    x = 15,119,899,369/56,779
  6. Step 6: Final answer
    x = 266,293.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.