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Finding the Third Proportional to 257,742 and 378,135

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Solution

The third proportional to 257,742 and 378,135 is: 554,764.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,742 : 378,135 = 378,135 : x
  2. Step 2: Convert to fraction form
    257,742/378,135 = 378,135/x
  3. Step 3: Cross multiply
    257,742x = 378,135 × 378,135
  4. Step 4: Simplify right side
    257,742x = 142,986,078,225
  5. Step 5: Solve for x
    x = 142,986,078,225/257,742
  6. Step 6: Final answer
    x = 554,764.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.