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Finding the Third Proportional to 257,080.50 and 384,481.13

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Solution

The third proportional to 257,080.50 and 384,481.13 is: 575,017.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,080.50 : 384,481.13 = 384,481.13 : x
  2. Step 2: Convert to fraction form
    257,080.50/384,481.13 = 384,481.13/x
  3. Step 3: Cross multiply
    257,080.50x = 384,481.13 × 384,481.13
  4. Step 4: Simplify right side
    257,080.50x = 147,825,735,481.27
  5. Step 5: Solve for x
    x = 147,825,735,481.27/257,080.50
  6. Step 6: Final answer
    x = 575,017.30

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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.