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Finding the Third Proportional to 31,276 and 63,826

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Solution

The third proportional to 31,276 and 63,826 is: 130,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,276 : 63,826 = 63,826 : x
  2. Step 2: Convert to fraction form
    31,276/63,826 = 63,826/x
  3. Step 3: Cross multiply
    31,276x = 63,826 × 63,826
  4. Step 4: Simplify right side
    31,276x = 4,073,758,276
  5. Step 5: Solve for x
    x = 4,073,758,276/31,276
  6. Step 6: Final answer
    x = 130,251.90

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.