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Finding the Third Proportional to 31,719 and 68,310

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Solution

The third proportional to 31,719 and 68,310 is: 147,112.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,719 : 68,310 = 68,310 : x
  2. Step 2: Convert to fraction form
    31,719/68,310 = 68,310/x
  3. Step 3: Cross multiply
    31,719x = 68,310 × 68,310
  4. Step 4: Simplify right side
    31,719x = 4,666,256,100
  5. Step 5: Solve for x
    x = 4,666,256,100/31,719
  6. Step 6: Final answer
    x = 147,112.33

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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.