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Finding the Third Proportional to 379,676 and 563,677

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Solution

The third proportional to 379,676 and 563,677 is: 836,849.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,676 : 563,677 = 563,677 : x
  2. Step 2: Convert to fraction form
    379,676/563,677 = 563,677/x
  3. Step 3: Cross multiply
    379,676x = 563,677 × 563,677
  4. Step 4: Simplify right side
    379,676x = 317,731,760,329
  5. Step 5: Solve for x
    x = 317,731,760,329/379,676
  6. Step 6: Final answer
    x = 836,849.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.