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Finding the Third Proportional to 149,508 and 257,958

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Solution

The third proportional to 149,508 and 257,958 is: 445,075.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,508 : 257,958 = 257,958 : x
  2. Step 2: Convert to fraction form
    149,508/257,958 = 257,958/x
  3. Step 3: Cross multiply
    149,508x = 257,958 × 257,958
  4. Step 4: Simplify right side
    149,508x = 66,542,329,764
  5. Step 5: Solve for x
    x = 66,542,329,764/149,508
  6. Step 6: Final answer
    x = 445,075.38

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Why These Related Problems?

These problems maintain the same ratio (1.73) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.