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Finding the Third Proportional to 347,162 and 721,966

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Solution

The third proportional to 347,162 and 721,966 is: 1,501,416.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,162 : 721,966 = 721,966 : x
  2. Step 2: Convert to fraction form
    347,162/721,966 = 721,966/x
  3. Step 3: Cross multiply
    347,162x = 721,966 × 721,966
  4. Step 4: Simplify right side
    347,162x = 521,234,905,156
  5. Step 5: Solve for x
    x = 521,234,905,156/347,162
  6. Step 6: Final answer
    x = 1,501,416.93

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.