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Finding the Third Proportional to 257,410.41 and 389,442.94

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Solution

The third proportional to 257,410.41 and 389,442.94 is: 589,198.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,410.41 : 389,442.94 = 389,442.94 : x
  2. Step 2: Convert to fraction form
    257,410.41/389,442.94 = 389,442.94/x
  3. Step 3: Cross multiply
    257,410.41x = 389,442.94 × 389,442.94
  4. Step 4: Simplify right side
    257,410.41x = 151,665,801,568.63
  5. Step 5: Solve for x
    x = 151,665,801,568.63/257,410.41
  6. Step 6: Final answer
    x = 589,198.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.