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Finding the Third Proportional to 325,973 and 687,343

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Solution

The third proportional to 325,973 and 687,343 is: 1,449,323.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    325,973 : 687,343 = 687,343 : x
  2. Step 2: Convert to fraction form
    325,973/687,343 = 687,343/x
  3. Step 3: Cross multiply
    325,973x = 687,343 × 687,343
  4. Step 4: Simplify right side
    325,973x = 472,440,399,649
  5. Step 5: Solve for x
    x = 472,440,399,649/325,973
  6. Step 6: Final answer
    x = 1,449,323.72

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.