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Finding the Third Proportional to 85,381 and 127,379

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Solution

The third proportional to 85,381 and 127,379 is: 190,035.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,381 : 127,379 = 127,379 : x
  2. Step 2: Convert to fraction form
    85,381/127,379 = 127,379/x
  3. Step 3: Cross multiply
    85,381x = 127,379 × 127,379
  4. Step 4: Simplify right side
    85,381x = 16,225,409,641
  5. Step 5: Solve for x
    x = 16,225,409,641/85,381
  6. Step 6: Final answer
    x = 190,035.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.