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Finding the Third Proportional to 127,475 and 263,137

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Solution

The third proportional to 127,475 and 263,137 is: 543,173.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,475 : 263,137 = 263,137 : x
  2. Step 2: Convert to fraction form
    127,475/263,137 = 263,137/x
  3. Step 3: Cross multiply
    127,475x = 263,137 × 263,137
  4. Step 4: Simplify right side
    127,475x = 69,241,080,769
  5. Step 5: Solve for x
    x = 69,241,080,769/127,475
  6. Step 6: Final answer
    x = 543,173.80

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.