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Finding the Third Proportional to 31,112 and 73,132.50

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Solution

The third proportional to 31,112 and 73,132.50 is: 171,906.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112 : 73,132.50 = 73,132.50 : x
  2. Step 2: Convert to fraction form
    31,112/73,132.50 = 73,132.50/x
  3. Step 3: Cross multiply
    31,112x = 73,132.50 × 73,132.50
  4. Step 4: Simplify right side
    31,112x = 5,348,362,556.25
  5. Step 5: Solve for x
    x = 5,348,362,556.25/31,112
  6. Step 6: Final answer
    x = 171,906.74

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.