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Finding the Third Proportional to 306,222 and 656,715

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Solution

The third proportional to 306,222 and 656,715 is: 1,408,372.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,222 : 656,715 = 656,715 : x
  2. Step 2: Convert to fraction form
    306,222/656,715 = 656,715/x
  3. Step 3: Cross multiply
    306,222x = 656,715 × 656,715
  4. Step 4: Simplify right side
    306,222x = 431,274,591,225
  5. Step 5: Solve for x
    x = 431,274,591,225/306,222
  6. Step 6: Final answer
    x = 1,408,372.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.