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Finding the Third Proportional to 31,420.41 and 68,377.92

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Solution

The third proportional to 31,420.41 and 68,377.92 is: 148,805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,420.41 : 68,377.92 = 68,377.92 : x
  2. Step 2: Convert to fraction form
    31,420.41/68,377.92 = 68,377.92/x
  3. Step 3: Cross multiply
    31,420.41x = 68,377.92 × 68,377.92
  4. Step 4: Simplify right side
    31,420.41x = 4,675,540,199.94
  5. Step 5: Solve for x
    x = 4,675,540,199.94/31,420.41
  6. Step 6: Final answer
    x = 148,805.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.