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Finding the Third Proportional to 379,836 and 563,898

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Solution

The third proportional to 379,836 and 563,898 is: 837,153.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,836 : 563,898 = 563,898 : x
  2. Step 2: Convert to fraction form
    379,836/563,898 = 563,898/x
  3. Step 3: Cross multiply
    379,836x = 563,898 × 563,898
  4. Step 4: Simplify right side
    379,836x = 317,980,954,404
  5. Step 5: Solve for x
    x = 317,980,954,404/379,836
  6. Step 6: Final answer
    x = 837,153.28

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