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Finding the Third Proportional to 321,478 and 691,343

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Solution

The third proportional to 321,478 and 691,343 is: 1,486,742.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,478 : 691,343 = 691,343 : x
  2. Step 2: Convert to fraction form
    321,478/691,343 = 691,343/x
  3. Step 3: Cross multiply
    321,478x = 691,343 × 691,343
  4. Step 4: Simplify right side
    321,478x = 477,955,143,649
  5. Step 5: Solve for x
    x = 477,955,143,649/321,478
  6. Step 6: Final answer
    x = 1,486,742.93

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.