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Finding the Third Proportional to 339,968 and 720,315

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Solution

The third proportional to 339,968 and 720,315 is: 1,526,183.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,968 : 720,315 = 720,315 : x
  2. Step 2: Convert to fraction form
    339,968/720,315 = 720,315/x
  3. Step 3: Cross multiply
    339,968x = 720,315 × 720,315
  4. Step 4: Simplify right side
    339,968x = 518,853,699,225
  5. Step 5: Solve for x
    x = 518,853,699,225/339,968
  6. Step 6: Final answer
    x = 1,526,183.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.