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Finding the Third Proportional to 277,405 and 406,231

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Solution

The third proportional to 277,405 and 406,231 is: 594,883.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,405 : 406,231 = 406,231 : x
  2. Step 2: Convert to fraction form
    277,405/406,231 = 406,231/x
  3. Step 3: Cross multiply
    277,405x = 406,231 × 406,231
  4. Step 4: Simplify right side
    277,405x = 165,023,625,361
  5. Step 5: Solve for x
    x = 165,023,625,361/277,405
  6. Step 6: Final answer
    x = 594,883.38

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.