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Finding the Third Proportional to 339,006 and 743,136

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Solution

The third proportional to 339,006 and 743,136 is: 1,629,030.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,006 : 743,136 = 743,136 : x
  2. Step 2: Convert to fraction form
    339,006/743,136 = 743,136/x
  3. Step 3: Cross multiply
    339,006x = 743,136 × 743,136
  4. Step 4: Simplify right side
    339,006x = 552,251,114,496
  5. Step 5: Solve for x
    x = 552,251,114,496/339,006
  6. Step 6: Final answer
    x = 1,629,030.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.