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Finding the Third Proportional to 55,779 and 121,809

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Solution

The third proportional to 55,779 and 121,809 is: 266,003.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,779 : 121,809 = 121,809 : x
  2. Step 2: Convert to fraction form
    55,779/121,809 = 121,809/x
  3. Step 3: Cross multiply
    55,779x = 121,809 × 121,809
  4. Step 4: Simplify right side
    55,779x = 14,837,432,481
  5. Step 5: Solve for x
    x = 14,837,432,481/55,779
  6. Step 6: Final answer
    x = 266,003.92

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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.