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Finding the Third Proportional to 66,779 and 103,998

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Solution

The third proportional to 66,779 and 103,998 is: 161,960.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,779 : 103,998 = 103,998 : x
  2. Step 2: Convert to fraction form
    66,779/103,998 = 103,998/x
  3. Step 3: Cross multiply
    66,779x = 103,998 × 103,998
  4. Step 4: Simplify right side
    66,779x = 10,815,584,004
  5. Step 5: Solve for x
    x = 10,815,584,004/66,779
  6. Step 6: Final answer
    x = 161,960.86

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.