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Finding the Third Proportional to 78,138 and 167,924.25

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Solution

The third proportional to 78,138 and 167,924.25 is: 360,881.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,138 : 167,924.25 = 167,924.25 : x
  2. Step 2: Convert to fraction form
    78,138/167,924.25 = 167,924.25/x
  3. Step 3: Cross multiply
    78,138x = 167,924.25 × 167,924.25
  4. Step 4: Simplify right side
    78,138x = 28,198,553,738.06
  5. Step 5: Solve for x
    x = 28,198,553,738.06/78,138
  6. Step 6: Final answer
    x = 360,881.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.