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Finding the Third Proportional to 257,742 and 389,448

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Solution

The third proportional to 257,742 and 389,448 is: 588,455.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742 : 389,448 = 389,448 : x
  2. Step 2: Convert to fraction form
    257,742/389,448 = 389,448/x
  3. Step 3: Cross multiply
    257,742x = 389,448 × 389,448
  4. Step 4: Simplify right side
    257,742x = 151,669,744,704
  5. Step 5: Solve for x
    x = 151,669,744,704/257,742
  6. Step 6: Final answer
    x = 588,455.68

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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.