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Finding the Third Proportional to 274,662 and 411,721

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Solution

The third proportional to 274,662 and 411,721 is: 617,173.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,662 : 411,721 = 411,721 : x
  2. Step 2: Convert to fraction form
    274,662/411,721 = 411,721/x
  3. Step 3: Cross multiply
    274,662x = 411,721 × 411,721
  4. Step 4: Simplify right side
    274,662x = 169,514,181,841
  5. Step 5: Solve for x
    x = 169,514,181,841/274,662
  6. Step 6: Final answer
    x = 617,173.77

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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.