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Finding the Third Proportional to 347,136 and 721,916

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Solution

The third proportional to 347,136 and 721,916 is: 1,501,321.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,136 : 721,916 = 721,916 : x
  2. Step 2: Convert to fraction form
    347,136/721,916 = 721,916/x
  3. Step 3: Cross multiply
    347,136x = 721,916 × 721,916
  4. Step 4: Simplify right side
    347,136x = 521,162,711,056
  5. Step 5: Solve for x
    x = 521,162,711,056/347,136
  6. Step 6: Final answer
    x = 1,501,321.42

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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.