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Finding the Third Proportional to 257,678 and 385,322

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Solution

The third proportional to 257,678 and 385,322 is: 576,196.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,678 : 385,322 = 385,322 : x
  2. Step 2: Convert to fraction form
    257,678/385,322 = 385,322/x
  3. Step 3: Cross multiply
    257,678x = 385,322 × 385,322
  4. Step 4: Simplify right side
    257,678x = 148,473,043,684
  5. Step 5: Solve for x
    x = 148,473,043,684/257,678
  6. Step 6: Final answer
    x = 576,196.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.