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Finding the Third Proportional to 266,384 and 407,503

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Solution

The third proportional to 266,384 and 407,503 is: 623,380.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,384 : 407,503 = 407,503 : x
  2. Step 2: Convert to fraction form
    266,384/407,503 = 407,503/x
  3. Step 3: Cross multiply
    266,384x = 407,503 × 407,503
  4. Step 4: Simplify right side
    266,384x = 166,058,695,009
  5. Step 5: Solve for x
    x = 166,058,695,009/266,384
  6. Step 6: Final answer
    x = 623,380.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.