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Finding the Third Proportional to 178,977.38 and 389,554.88

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Solution

The third proportional to 178,977.38 and 389,554.88 is: 847,889.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,977.38 : 389,554.88 = 389,554.88 : x
  2. Step 2: Convert to fraction form
    178,977.38/389,554.88 = 389,554.88/x
  3. Step 3: Cross multiply
    178,977.38x = 389,554.88 × 389,554.88
  4. Step 4: Simplify right side
    178,977.38x = 151,753,000,636.27
  5. Step 5: Solve for x
    x = 151,753,000,636.27/178,977.38
  6. Step 6: Final answer
    x = 847,889.30

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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.