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Finding the Third Proportional to 266,620 and 577,521

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Solution

The third proportional to 266,620 and 577,521 is: 1,250,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,620 : 577,521 = 577,521 : x
  2. Step 2: Convert to fraction form
    266,620/577,521 = 577,521/x
  3. Step 3: Cross multiply
    266,620x = 577,521 × 577,521
  4. Step 4: Simplify right side
    266,620x = 333,530,505,441
  5. Step 5: Solve for x
    x = 333,530,505,441/266,620
  6. Step 6: Final answer
    x = 1,250,958.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.