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Finding the Third Proportional to 270,378 and 397,419

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Solution

The third proportional to 270,378 and 397,419 is: 584,152.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,378 : 397,419 = 397,419 : x
  2. Step 2: Convert to fraction form
    270,378/397,419 = 397,419/x
  3. Step 3: Cross multiply
    270,378x = 397,419 × 397,419
  4. Step 4: Simplify right side
    270,378x = 157,941,861,561
  5. Step 5: Solve for x
    x = 157,941,861,561/270,378
  6. Step 6: Final answer
    x = 584,152.04

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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.