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Finding the Third Proportional to 122,782.50 and 257,958

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Solution

The third proportional to 122,782.50 and 257,958 is: 541,952.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,782.50 : 257,958 = 257,958 : x
  2. Step 2: Convert to fraction form
    122,782.50/257,958 = 257,958/x
  3. Step 3: Cross multiply
    122,782.50x = 257,958 × 257,958
  4. Step 4: Simplify right side
    122,782.50x = 66,542,329,764
  5. Step 5: Solve for x
    x = 66,542,329,764/122,782.50
  6. Step 6: Final answer
    x = 541,952.88

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.