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Finding the Third Proportional to 85,751 and 127,988

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Solution

The third proportional to 85,751 and 127,988 is: 191,029.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,751 : 127,988 = 127,988 : x
  2. Step 2: Convert to fraction form
    85,751/127,988 = 127,988/x
  3. Step 3: Cross multiply
    85,751x = 127,988 × 127,988
  4. Step 4: Simplify right side
    85,751x = 16,380,928,144
  5. Step 5: Solve for x
    x = 16,380,928,144/85,751
  6. Step 6: Final answer
    x = 191,029.00

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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.