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Finding the Third Proportional to 178,519 and 389,638

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Solution

The third proportional to 178,519 and 389,638 is: 850,429.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,519 : 389,638 = 389,638 : x
  2. Step 2: Convert to fraction form
    178,519/389,638 = 389,638/x
  3. Step 3: Cross multiply
    178,519x = 389,638 × 389,638
  4. Step 4: Simplify right side
    178,519x = 151,817,771,044
  5. Step 5: Solve for x
    x = 151,817,771,044/178,519
  6. Step 6: Final answer
    x = 850,429.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.