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Finding the Third Proportional to 74,430 and 104,112

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Solution

The third proportional to 74,430 and 104,112 is: 145,630.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,430 : 104,112 = 104,112 : x
  2. Step 2: Convert to fraction form
    74,430/104,112 = 104,112/x
  3. Step 3: Cross multiply
    74,430x = 104,112 × 104,112
  4. Step 4: Simplify right side
    74,430x = 10,839,308,544
  5. Step 5: Solve for x
    x = 10,839,308,544/74,430
  6. Step 6: Final answer
    x = 145,630.91

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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.