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Finding the Third Proportional to 85,992 and 129,492

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Solution

The third proportional to 85,992 and 129,492 is: 194,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,992 : 129,492 = 129,492 : x
  2. Step 2: Convert to fraction form
    85,992/129,492 = 129,492/x
  3. Step 3: Cross multiply
    85,992x = 129,492 × 129,492
  4. Step 4: Simplify right side
    85,992x = 16,768,178,064
  5. Step 5: Solve for x
    x = 16,768,178,064/85,992
  6. Step 6: Final answer
    x = 194,996.95

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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.