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Finding the Third Proportional to 31,178.67 and 68,393.74

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Solution

The third proportional to 31,178.67 and 68,393.74 is: 150,028.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.67 : 68,393.74 = 68,393.74 : x
  2. Step 2: Convert to fraction form
    31,178.67/68,393.74 = 68,393.74/x
  3. Step 3: Cross multiply
    31,178.67x = 68,393.74 × 68,393.74
  4. Step 4: Simplify right side
    31,178.67x = 4,677,703,970.41
  5. Step 5: Solve for x
    x = 4,677,703,970.41/31,178.67
  6. Step 6: Final answer
    x = 150,028.97

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.