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Finding the Third Proportional to 38,276 and 82,702

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Solution

The third proportional to 38,276 and 82,702 is: 178,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,276 : 82,702 = 82,702 : x
  2. Step 2: Convert to fraction form
    38,276/82,702 = 82,702/x
  3. Step 3: Cross multiply
    38,276x = 82,702 × 82,702
  4. Step 4: Simplify right side
    38,276x = 6,839,620,804
  5. Step 5: Solve for x
    x = 6,839,620,804/38,276
  6. Step 6: Final answer
    x = 178,692.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.