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Finding the Third Proportional to 31,236 and 68,080

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Solution

The third proportional to 31,236 and 68,080 is: 148,382.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236 : 68,080 = 68,080 : x
  2. Step 2: Convert to fraction form
    31,236/68,080 = 68,080/x
  3. Step 3: Cross multiply
    31,236x = 68,080 × 68,080
  4. Step 4: Simplify right side
    31,236x = 4,634,886,400
  5. Step 5: Solve for x
    x = 4,634,886,400/31,236
  6. Step 6: Final answer
    x = 148,382.84

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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.