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Finding the Third Proportional to 274,289 and 411,434

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Solution

The third proportional to 274,289 and 411,434 is: 617,151.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,289 : 411,434 = 411,434 : x
  2. Step 2: Convert to fraction form
    274,289/411,434 = 411,434/x
  3. Step 3: Cross multiply
    274,289x = 411,434 × 411,434
  4. Step 4: Simplify right side
    274,289x = 169,277,936,356
  5. Step 5: Solve for x
    x = 169,277,936,356/274,289
  6. Step 6: Final answer
    x = 617,151.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.