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Finding the Third Proportional to 74,077 and 103,699

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Solution

The third proportional to 74,077 and 103,699 is: 145,166.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,077 : 103,699 = 103,699 : x
  2. Step 2: Convert to fraction form
    74,077/103,699 = 103,699/x
  3. Step 3: Cross multiply
    74,077x = 103,699 × 103,699
  4. Step 4: Simplify right side
    74,077x = 10,753,482,601
  5. Step 5: Solve for x
    x = 10,753,482,601/74,077
  6. Step 6: Final answer
    x = 145,166.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.