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Finding the Third Proportional to 266,980 and 413,503

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Solution

The third proportional to 266,980 and 413,503 is: 640,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,980 : 413,503 = 413,503 : x
  2. Step 2: Convert to fraction form
    266,980/413,503 = 413,503/x
  3. Step 3: Cross multiply
    266,980x = 413,503 × 413,503
  4. Step 4: Simplify right side
    266,980x = 170,984,731,009
  5. Step 5: Solve for x
    x = 170,984,731,009/266,980
  6. Step 6: Final answer
    x = 640,440.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.