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Finding the Third Proportional to 339,972 and 720,323

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Solution

The third proportional to 339,972 and 720,323 is: 1,526,199.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,972 : 720,323 = 720,323 : x
  2. Step 2: Convert to fraction form
    339,972/720,323 = 720,323/x
  3. Step 3: Cross multiply
    339,972x = 720,323 × 720,323
  4. Step 4: Simplify right side
    339,972x = 518,865,224,329
  5. Step 5: Solve for x
    x = 518,865,224,329/339,972
  6. Step 6: Final answer
    x = 1,526,199.88

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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.