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Finding the Third Proportional to 85,779 and 189,009

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Solution

The third proportional to 85,779 and 189,009 is: 416,470.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,779 : 189,009 = 189,009 : x
  2. Step 2: Convert to fraction form
    85,779/189,009 = 189,009/x
  3. Step 3: Cross multiply
    85,779x = 189,009 × 189,009
  4. Step 4: Simplify right side
    85,779x = 35,724,402,081
  5. Step 5: Solve for x
    x = 35,724,402,081/85,779
  6. Step 6: Final answer
    x = 416,470.26

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.