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Finding the Third Proportional to 266,276 and 579,208

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Solution

The third proportional to 266,276 and 579,208 is: 1,259,902.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,276 : 579,208 = 579,208 : x
  2. Step 2: Convert to fraction form
    266,276/579,208 = 579,208/x
  3. Step 3: Cross multiply
    266,276x = 579,208 × 579,208
  4. Step 4: Simplify right side
    266,276x = 335,481,907,264
  5. Step 5: Solve for x
    x = 335,481,907,264/266,276
  6. Step 6: Final answer
    x = 1,259,902.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.