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Finding the Third Proportional to 356,827 and 521,843

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Solution

The third proportional to 356,827 and 521,843 is: 763,171.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,827 : 521,843 = 521,843 : x
  2. Step 2: Convert to fraction form
    356,827/521,843 = 521,843/x
  3. Step 3: Cross multiply
    356,827x = 521,843 × 521,843
  4. Step 4: Simplify right side
    356,827x = 272,320,116,649
  5. Step 5: Solve for x
    x = 272,320,116,649/356,827
  6. Step 6: Final answer
    x = 763,171.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.