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Finding the Third Proportional to 277,403 and 406,228

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Solution

The third proportional to 277,403 and 406,228 is: 594,878.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,403 : 406,228 = 406,228 : x
  2. Step 2: Convert to fraction form
    277,403/406,228 = 406,228/x
  3. Step 3: Cross multiply
    277,403x = 406,228 × 406,228
  4. Step 4: Simplify right side
    277,403x = 165,021,187,984
  5. Step 5: Solve for x
    x = 165,021,187,984/277,403
  6. Step 6: Final answer
    x = 594,878.89

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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.