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Finding the Third Proportional to 31,213.13 and 68,788.69

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Solution

The third proportional to 31,213.13 and 68,788.69 is: 151,599.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,213.13 : 68,788.69 = 68,788.69 : x
  2. Step 2: Convert to fraction form
    31,213.13/68,788.69 = 68,788.69/x
  3. Step 3: Cross multiply
    31,213.13x = 68,788.69 × 68,788.69
  4. Step 4: Simplify right side
    31,213.13x = 4,731,883,527.97
  5. Step 5: Solve for x
    x = 4,731,883,527.97/31,213.13
  6. Step 6: Final answer
    x = 151,599.16

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.