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Finding the Third Proportional to 85,381.50 and 127,380

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Solution

The third proportional to 85,381.50 and 127,380 is: 190,037.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,381.50 : 127,380 = 127,380 : x
  2. Step 2: Convert to fraction form
    85,381.50/127,380 = 127,380/x
  3. Step 3: Cross multiply
    85,381.50x = 127,380 × 127,380
  4. Step 4: Simplify right side
    85,381.50x = 16,225,664,400
  5. Step 5: Solve for x
    x = 16,225,664,400/85,381.50
  6. Step 6: Final answer
    x = 190,037.24

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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.