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Finding the Third Proportional to 339,144 and 712,416

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Solution

The third proportional to 339,144 and 712,416 is: 1,496,522.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,144 : 712,416 = 712,416 : x
  2. Step 2: Convert to fraction form
    339,144/712,416 = 712,416/x
  3. Step 3: Cross multiply
    339,144x = 712,416 × 712,416
  4. Step 4: Simplify right side
    339,144x = 507,536,557,056
  5. Step 5: Solve for x
    x = 507,536,557,056/339,144
  6. Step 6: Final answer
    x = 1,496,522.29

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.