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Finding the Third Proportional to 323,415 and 680,343

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Solution

The third proportional to 323,415 and 680,343 is: 1,431,184.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,415 : 680,343 = 680,343 : x
  2. Step 2: Convert to fraction form
    323,415/680,343 = 680,343/x
  3. Step 3: Cross multiply
    323,415x = 680,343 × 680,343
  4. Step 4: Simplify right side
    323,415x = 462,866,597,649
  5. Step 5: Solve for x
    x = 462,866,597,649/323,415
  6. Step 6: Final answer
    x = 1,431,184.69

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.