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Finding the Third Proportional to 168,356 and 363,419

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Solution

The third proportional to 168,356 and 363,419 is: 784,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,356 : 363,419 = 363,419 : x
  2. Step 2: Convert to fraction form
    168,356/363,419 = 363,419/x
  3. Step 3: Cross multiply
    168,356x = 363,419 × 363,419
  4. Step 4: Simplify right side
    168,356x = 132,073,369,561
  5. Step 5: Solve for x
    x = 132,073,369,561/168,356
  6. Step 6: Final answer
    x = 784,488.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.