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Finding the Third Proportional to 174,997 and 271,486

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Solution

The third proportional to 174,997 and 271,486 is: 421,176.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,997 : 271,486 = 271,486 : x
  2. Step 2: Convert to fraction form
    174,997/271,486 = 271,486/x
  3. Step 3: Cross multiply
    174,997x = 271,486 × 271,486
  4. Step 4: Simplify right side
    174,997x = 73,704,648,196
  5. Step 5: Solve for x
    x = 73,704,648,196/174,997
  6. Step 6: Final answer
    x = 421,176.64

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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.