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Finding the Third Proportional to 277,390 and 406,211

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Solution

The third proportional to 277,390 and 406,211 is: 594,856.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,390 : 406,211 = 406,211 : x
  2. Step 2: Convert to fraction form
    277,390/406,211 = 406,211/x
  3. Step 3: Cross multiply
    277,390x = 406,211 × 406,211
  4. Step 4: Simplify right side
    277,390x = 165,007,376,521
  5. Step 5: Solve for x
    x = 165,007,376,521/277,390
  6. Step 6: Final answer
    x = 594,856.98

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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.