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Finding the Third Proportional to 178,942.92 and 389,373.33

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Solution

The third proportional to 178,942.92 and 389,373.33 is: 847,262.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,942.92 : 389,373.33 = 389,373.33 : x
  2. Step 2: Convert to fraction form
    178,942.92/389,373.33 = 389,373.33/x
  3. Step 3: Cross multiply
    178,942.92x = 389,373.33 × 389,373.33
  4. Step 4: Simplify right side
    178,942.92x = 151,611,588,655.14
  5. Step 5: Solve for x
    x = 151,611,588,655.14/178,942.92
  6. Step 6: Final answer
    x = 847,262.28

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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.