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Finding the Third Proportional to 266,180 and 577,288

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Solution

The third proportional to 266,180 and 577,288 is: 1,252,015.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,180 : 577,288 = 577,288 : x
  2. Step 2: Convert to fraction form
    266,180/577,288 = 577,288/x
  3. Step 3: Cross multiply
    266,180x = 577,288 × 577,288
  4. Step 4: Simplify right side
    266,180x = 333,261,434,944
  5. Step 5: Solve for x
    x = 333,261,434,944/266,180
  6. Step 6: Final answer
    x = 1,252,015.31

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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.