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Finding the Third Proportional to 74,121.75 and 158,699.25

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Solution

The third proportional to 74,121.75 and 158,699.25 is: 339,784.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,121.75 : 158,699.25 = 158,699.25 : x
  2. Step 2: Convert to fraction form
    74,121.75/158,699.25 = 158,699.25/x
  3. Step 3: Cross multiply
    74,121.75x = 158,699.25 × 158,699.25
  4. Step 4: Simplify right side
    74,121.75x = 25,185,451,950.56
  5. Step 5: Solve for x
    x = 25,185,451,950.56/74,121.75
  6. Step 6: Final answer
    x = 339,784.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.