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Finding the Third Proportional to 85,255 and 129,068

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Solution

The third proportional to 85,255 and 129,068 is: 195,396.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,255 : 129,068 = 129,068 : x
  2. Step 2: Convert to fraction form
    85,255/129,068 = 129,068/x
  3. Step 3: Cross multiply
    85,255x = 129,068 × 129,068
  4. Step 4: Simplify right side
    85,255x = 16,658,548,624
  5. Step 5: Solve for x
    x = 16,658,548,624/85,255
  6. Step 6: Final answer
    x = 195,396.73

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.