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Finding the Third Proportional to 321,732 and 635,381

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Solution

The third proportional to 321,732 and 635,381 is: 1,254,799.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,732 : 635,381 = 635,381 : x
  2. Step 2: Convert to fraction form
    321,732/635,381 = 635,381/x
  3. Step 3: Cross multiply
    321,732x = 635,381 × 635,381
  4. Step 4: Simplify right side
    321,732x = 403,709,015,161
  5. Step 5: Solve for x
    x = 403,709,015,161/321,732
  6. Step 6: Final answer
    x = 1,254,799.07

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.