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Finding the Third Proportional to 174,355 and 269,419

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Solution

The third proportional to 174,355 and 269,419 is: 416,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,355 : 269,419 = 269,419 : x
  2. Step 2: Convert to fraction form
    174,355/269,419 = 269,419/x
  3. Step 3: Cross multiply
    174,355x = 269,419 × 269,419
  4. Step 4: Simplify right side
    174,355x = 72,586,597,561
  5. Step 5: Solve for x
    x = 72,586,597,561/174,355
  6. Step 6: Final answer
    x = 416,314.98

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.