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Finding the Third Proportional to 61,178 and 82,551

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Solution

The third proportional to 61,178 and 82,551 is: 111,390.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,178 : 82,551 = 82,551 : x
  2. Step 2: Convert to fraction form
    61,178/82,551 = 82,551/x
  3. Step 3: Cross multiply
    61,178x = 82,551 × 82,551
  4. Step 4: Simplify right side
    61,178x = 6,814,667,601
  5. Step 5: Solve for x
    x = 6,814,667,601/61,178
  6. Step 6: Final answer
    x = 111,390.82

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.