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Finding the Third Proportional to 74,424 and 115,112

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Solution

The third proportional to 74,424 and 115,112 is: 178,044.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,424 : 115,112 = 115,112 : x
  2. Step 2: Convert to fraction form
    74,424/115,112 = 115,112/x
  3. Step 3: Cross multiply
    74,424x = 115,112 × 115,112
  4. Step 4: Simplify right side
    74,424x = 13,250,772,544
  5. Step 5: Solve for x
    x = 13,250,772,544/74,424
  6. Step 6: Final answer
    x = 178,044.35

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.