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Finding the Third Proportional to 76,779 and 166,133

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Solution

The third proportional to 76,779 and 166,133 is: 359,475.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,779 : 166,133 = 166,133 : x
  2. Step 2: Convert to fraction form
    76,779/166,133 = 166,133/x
  3. Step 3: Cross multiply
    76,779x = 166,133 × 166,133
  4. Step 4: Simplify right side
    76,779x = 27,600,173,689
  5. Step 5: Solve for x
    x = 27,600,173,689/76,779
  6. Step 6: Final answer
    x = 359,475.56

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.