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Finding the Third Proportional to 321,726 and 693,318

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Solution

The third proportional to 321,726 and 693,318 is: 1,494,096.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,726 : 693,318 = 693,318 : x
  2. Step 2: Convert to fraction form
    321,726/693,318 = 693,318/x
  3. Step 3: Cross multiply
    321,726x = 693,318 × 693,318
  4. Step 4: Simplify right side
    321,726x = 480,689,849,124
  5. Step 5: Solve for x
    x = 480,689,849,124/321,726
  6. Step 6: Final answer
    x = 1,494,096.99

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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.