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Finding the Third Proportional to 270,322 and 389,392

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Solution

The third proportional to 270,322 and 389,392 is: 560,909.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,322 : 389,392 = 389,392 : x
  2. Step 2: Convert to fraction form
    270,322/389,392 = 389,392/x
  3. Step 3: Cross multiply
    270,322x = 389,392 × 389,392
  4. Step 4: Simplify right side
    270,322x = 151,626,129,664
  5. Step 5: Solve for x
    x = 151,626,129,664/270,322
  6. Step 6: Final answer
    x = 560,909.32

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.