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Finding the Third Proportional to 270,318 and 389,386

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Solution

The third proportional to 270,318 and 389,386 is: 560,900.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,318 : 389,386 = 389,386 : x
  2. Step 2: Convert to fraction form
    270,318/389,386 = 389,386/x
  3. Step 3: Cross multiply
    270,318x = 389,386 × 389,386
  4. Step 4: Simplify right side
    270,318x = 151,621,456,996
  5. Step 5: Solve for x
    x = 151,621,456,996/270,318
  6. Step 6: Final answer
    x = 560,900.34

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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.