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Finding the Third Proportional to 85,398 and 128,372

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Solution

The third proportional to 85,398 and 128,372 is: 192,971.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,398 : 128,372 = 128,372 : x
  2. Step 2: Convert to fraction form
    85,398/128,372 = 128,372/x
  3. Step 3: Cross multiply
    85,398x = 128,372 × 128,372
  4. Step 4: Simplify right side
    85,398x = 16,479,370,384
  5. Step 5: Solve for x
    x = 16,479,370,384/85,398
  6. Step 6: Final answer
    x = 192,971.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.