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Finding the Third Proportional to 266,128 and 577,021

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Solution

The third proportional to 266,128 and 577,021 is: 1,251,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,128 : 577,021 = 577,021 : x
  2. Step 2: Convert to fraction form
    266,128/577,021 = 577,021/x
  3. Step 3: Cross multiply
    266,128x = 577,021 × 577,021
  4. Step 4: Simplify right side
    266,128x = 332,953,234,441
  5. Step 5: Solve for x
    x = 332,953,234,441/266,128
  6. Step 6: Final answer
    x = 1,251,101.85

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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.