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Finding the Third Proportional to 85,271 and 127,907

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Solution

The third proportional to 85,271 and 127,907 is: 191,861.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,271 : 127,907 = 127,907 : x
  2. Step 2: Convert to fraction form
    85,271/127,907 = 127,907/x
  3. Step 3: Cross multiply
    85,271x = 127,907 × 127,907
  4. Step 4: Simplify right side
    85,271x = 16,360,200,649
  5. Step 5: Solve for x
    x = 16,360,200,649/85,271
  6. Step 6: Final answer
    x = 191,861.25

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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.