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Finding the Third Proportional to 339,648 and 712,344

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Solution

The third proportional to 339,648 and 712,344 is: 1,493,999.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,648 : 712,344 = 712,344 : x
  2. Step 2: Convert to fraction form
    339,648/712,344 = 712,344/x
  3. Step 3: Cross multiply
    339,648x = 712,344 × 712,344
  4. Step 4: Simplify right side
    339,648x = 507,433,974,336
  5. Step 5: Solve for x
    x = 507,433,974,336/339,648
  6. Step 6: Final answer
    x = 1,493,999.59

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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.