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Finding the Third Proportional to 85,398 and 136,425

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Solution

The third proportional to 85,398 and 136,425 is: 217,941.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,398 : 136,425 = 136,425 : x
  2. Step 2: Convert to fraction form
    85,398/136,425 = 136,425/x
  3. Step 3: Cross multiply
    85,398x = 136,425 × 136,425
  4. Step 4: Simplify right side
    85,398x = 18,611,780,625
  5. Step 5: Solve for x
    x = 18,611,780,625/85,398
  6. Step 6: Final answer
    x = 217,941.65

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.